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Finding the Third Proportional to 15,643.13 and 24,224.06

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Solution

The third proportional to 15,643.13 and 24,224.06 is: 37,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 24,224.06 = 24,224.06 : x
  2. Step 2: Convert to fraction form
    15,643.13/24,224.06 = 24,224.06/x
  3. Step 3: Cross multiply
    15,643.13x = 24,224.06 × 24,224.06
  4. Step 4: Simplify right side
    15,643.13x = 586,805,204.00
  5. Step 5: Solve for x
    x = 586,805,204.00/15,643.13
  6. Step 6: Final answer
    x = 37,512.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.