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Finding the Third Proportional to 19,127.25 and 29,543.63

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Solution

The third proportional to 19,127.25 and 29,543.63 is: 45,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.25 : 29,543.63 = 29,543.63 : x
  2. Step 2: Convert to fraction form
    19,127.25/29,543.63 = 29,543.63/x
  3. Step 3: Cross multiply
    19,127.25x = 29,543.63 × 29,543.63
  4. Step 4: Simplify right side
    19,127.25x = 872,825,778.14
  5. Step 5: Solve for x
    x = 872,825,778.14/19,127.25
  6. Step 6: Final answer
    x = 45,632.58

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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.