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Finding the Third Proportional to 41,937 and 63,451.50

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Solution

The third proportional to 41,937 and 63,451.50 is: 96,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,937 : 63,451.50 = 63,451.50 : x
  2. Step 2: Convert to fraction form
    41,937/63,451.50 = 63,451.50/x
  3. Step 3: Cross multiply
    41,937x = 63,451.50 × 63,451.50
  4. Step 4: Simplify right side
    41,937x = 4,026,092,852.25
  5. Step 5: Solve for x
    x = 4,026,092,852.25/41,937
  6. Step 6: Final answer
    x = 96,003.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.