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Finding the Third Proportional to 46,747.13 and 63,867.23

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Solution

The third proportional to 46,747.13 and 63,867.23 is: 87,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 63,867.23 = 63,867.23 : x
  2. Step 2: Convert to fraction form
    46,747.13/63,867.23 = 63,867.23/x
  3. Step 3: Cross multiply
    46,747.13x = 63,867.23 × 63,867.23
  4. Step 4: Simplify right side
    46,747.13x = 4,079,023,626.71
  5. Step 5: Solve for x
    x = 4,079,023,626.71/46,747.13
  6. Step 6: Final answer
    x = 87,257.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.