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Finding the Third Proportional to 46,987.13 and 72,866.81

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Solution

The third proportional to 46,987.13 and 72,866.81 is: 113,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,987.13 : 72,866.81 = 72,866.81 : x
  2. Step 2: Convert to fraction form
    46,987.13/72,866.81 = 72,866.81/x
  3. Step 3: Cross multiply
    46,987.13x = 72,866.81 × 72,866.81
  4. Step 4: Simplify right side
    46,987.13x = 5,309,572,363.91
  5. Step 5: Solve for x
    x = 5,309,572,363.91/46,987.13
  6. Step 6: Final answer
    x = 113,000.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.