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Finding the Third Proportional to 14,752.13 and 31,963.50

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Solution

The third proportional to 14,752.13 and 31,963.50 is: 69,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.13 : 31,963.50 = 31,963.50 : x
  2. Step 2: Convert to fraction form
    14,752.13/31,963.50 = 31,963.50/x
  3. Step 3: Cross multiply
    14,752.13x = 31,963.50 × 31,963.50
  4. Step 4: Simplify right side
    14,752.13x = 1,021,665,332.25
  5. Step 5: Solve for x
    x = 1,021,665,332.25/14,752.13
  6. Step 6: Final answer
    x = 69,255.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.