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Finding the Third Proportional to 19,127.25 and 29,542.50

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Solution

The third proportional to 19,127.25 and 29,542.50 is: 45,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.25 : 29,542.50 = 29,542.50 : x
  2. Step 2: Convert to fraction form
    19,127.25/29,542.50 = 29,542.50/x
  3. Step 3: Cross multiply
    19,127.25x = 29,542.50 × 29,542.50
  4. Step 4: Simplify right side
    19,127.25x = 872,759,306.25
  5. Step 5: Solve for x
    x = 872,759,306.25/19,127.25
  6. Step 6: Final answer
    x = 45,629.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.