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Finding the Third Proportional to 14,727.75 and 22,306.13

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Solution

The third proportional to 14,727.75 and 22,306.13 is: 33,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.75 : 22,306.13 = 22,306.13 : x
  2. Step 2: Convert to fraction form
    14,727.75/22,306.13 = 22,306.13/x
  3. Step 3: Cross multiply
    14,727.75x = 22,306.13 × 22,306.13
  4. Step 4: Simplify right side
    14,727.75x = 497,563,212.52
  5. Step 5: Solve for x
    x = 497,563,212.52/14,727.75
  6. Step 6: Final answer
    x = 33,784.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.