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Finding the Third Proportional to 15,403.25 and 23,214.50

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Solution

The third proportional to 15,403.25 and 23,214.50 is: 34,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.25 : 23,214.50 = 23,214.50 : x
  2. Step 2: Convert to fraction form
    15,403.25/23,214.50 = 23,214.50/x
  3. Step 3: Cross multiply
    15,403.25x = 23,214.50 × 23,214.50
  4. Step 4: Simplify right side
    15,403.25x = 538,913,010.25
  5. Step 5: Solve for x
    x = 538,913,010.25/15,403.25
  6. Step 6: Final answer
    x = 34,986.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.