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Finding the Third Proportional to 9,720.38 and 22,761.94

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Solution

The third proportional to 9,720.38 and 22,761.94 is: 53,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.38 : 22,761.94 = 22,761.94 : x
  2. Step 2: Convert to fraction form
    9,720.38/22,761.94 = 22,761.94/x
  3. Step 3: Cross multiply
    9,720.38x = 22,761.94 × 22,761.94
  4. Step 4: Simplify right side
    9,720.38x = 518,105,798.75
  5. Step 5: Solve for x
    x = 518,105,798.75/9,720.38
  6. Step 6: Final answer
    x = 53,301.01

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.