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Finding the Third Proportional to 4,871.81 and 10,562.91

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Solution

The third proportional to 4,871.81 and 10,562.91 is: 22,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.81 : 10,562.91 = 10,562.91 : x
  2. Step 2: Convert to fraction form
    4,871.81/10,562.91 = 10,562.91/x
  3. Step 3: Cross multiply
    4,871.81x = 10,562.91 × 10,562.91
  4. Step 4: Simplify right side
    4,871.81x = 111,574,988.45
  5. Step 5: Solve for x
    x = 111,574,988.45/4,871.81
  6. Step 6: Final answer
    x = 22,902.15

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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.