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Finding the Third Proportional to 4,869.49 and 10,732.10

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Solution

The third proportional to 4,869.49 and 10,732.10 is: 23,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.49 : 10,732.10 = 10,732.10 : x
  2. Step 2: Convert to fraction form
    4,869.49/10,732.10 = 10,732.10/x
  3. Step 3: Cross multiply
    4,869.49x = 10,732.10 × 10,732.10
  4. Step 4: Simplify right side
    4,869.49x = 115,178,066.83
  5. Step 5: Solve for x
    x = 115,178,066.83/4,869.49
  6. Step 6: Final answer
    x = 23,652.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.