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Finding the Third Proportional to 4,867.38 and 10,656.13

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Solution

The third proportional to 4,867.38 and 10,656.13 is: 23,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.38 : 10,656.13 = 10,656.13 : x
  2. Step 2: Convert to fraction form
    4,867.38/10,656.13 = 10,656.13/x
  3. Step 3: Cross multiply
    4,867.38x = 10,656.13 × 10,656.13
  4. Step 4: Simplify right side
    4,867.38x = 113,553,000.02
  5. Step 5: Solve for x
    x = 113,553,000.02/4,867.38
  6. Step 6: Final answer
    x = 23,329.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.