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Finding the Third Proportional to 14,727 and 22,752.75

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Solution

The third proportional to 14,727 and 22,752.75 is: 35,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 22,752.75 = 22,752.75 : x
  2. Step 2: Convert to fraction form
    14,727/22,752.75 = 22,752.75/x
  3. Step 3: Cross multiply
    14,727x = 22,752.75 × 22,752.75
  4. Step 4: Simplify right side
    14,727x = 517,687,632.56
  5. Step 5: Solve for x
    x = 517,687,632.56/14,727
  6. Step 6: Final answer
    x = 35,152.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.