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Finding the Third Proportional to 4,887 and 10,468.13

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Solution

The third proportional to 4,887 and 10,468.13 is: 22,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887 : 10,468.13 = 10,468.13 : x
  2. Step 2: Convert to fraction form
    4,887/10,468.13 = 10,468.13/x
  3. Step 3: Cross multiply
    4,887x = 10,468.13 × 10,468.13
  4. Step 4: Simplify right side
    4,887x = 109,581,641.02
  5. Step 5: Solve for x
    x = 109,581,641.02/4,887
  6. Step 6: Final answer
    x = 22,423.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.