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Finding the Third Proportional to 14,711.63 and 22,004.16

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Solution

The third proportional to 14,711.63 and 22,004.16 is: 32,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.63 : 22,004.16 = 22,004.16 : x
  2. Step 2: Convert to fraction form
    14,711.63/22,004.16 = 22,004.16/x
  3. Step 3: Cross multiply
    14,711.63x = 22,004.16 × 22,004.16
  4. Step 4: Simplify right side
    14,711.63x = 484,182,892.27
  5. Step 5: Solve for x
    x = 484,182,892.27/14,711.63
  6. Step 6: Final answer
    x = 32,911.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.