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Finding the Third Proportional to 4,655.81 and 10,132.88

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Solution

The third proportional to 4,655.81 and 10,132.88 is: 22,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.81 : 10,132.88 = 10,132.88 : x
  2. Step 2: Convert to fraction form
    4,655.81/10,132.88 = 10,132.88/x
  3. Step 3: Cross multiply
    4,655.81x = 10,132.88 × 10,132.88
  4. Step 4: Simplify right side
    4,655.81x = 102,675,155.77
  5. Step 5: Solve for x
    x = 102,675,155.77/4,655.81
  6. Step 6: Final answer
    x = 22,053.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.