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Finding the Third Proportional to 47,110.50 and 63,972

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Solution

The third proportional to 47,110.50 and 63,972 is: 86,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110.50 : 63,972 = 63,972 : x
  2. Step 2: Convert to fraction form
    47,110.50/63,972 = 63,972/x
  3. Step 3: Cross multiply
    47,110.50x = 63,972 × 63,972
  4. Step 4: Simplify right side
    47,110.50x = 4,092,416,784
  5. Step 5: Solve for x
    x = 4,092,416,784/47,110.50
  6. Step 6: Final answer
    x = 86,868.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.