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Finding the Third Proportional to 10,128.16 and 15,331.99

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Solution

The third proportional to 10,128.16 and 15,331.99 is: 23,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.16 : 15,331.99 = 15,331.99 : x
  2. Step 2: Convert to fraction form
    10,128.16/15,331.99 = 15,331.99/x
  3. Step 3: Cross multiply
    10,128.16x = 15,331.99 × 15,331.99
  4. Step 4: Simplify right side
    10,128.16x = 235,069,984.44
  5. Step 5: Solve for x
    x = 235,069,984.44/10,128.16
  6. Step 6: Final answer
    x = 23,209.54

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