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Finding the Third Proportional to 4,306.13 and 7,937.06

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Solution

The third proportional to 4,306.13 and 7,937.06 is: 14,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.13 : 7,937.06 = 7,937.06 : x
  2. Step 2: Convert to fraction form
    4,306.13/7,937.06 = 7,937.06/x
  3. Step 3: Cross multiply
    4,306.13x = 7,937.06 × 7,937.06
  4. Step 4: Simplify right side
    4,306.13x = 62,996,961.13
  5. Step 5: Solve for x
    x = 62,996,961.13/4,306.13
  6. Step 6: Final answer
    x = 14,629.62

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.