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Finding the Third Proportional to 40,032 and 86,248.50

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Solution

The third proportional to 40,032 and 86,248.50 is: 185,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032 : 86,248.50 = 86,248.50 : x
  2. Step 2: Convert to fraction form
    40,032/86,248.50 = 86,248.50/x
  3. Step 3: Cross multiply
    40,032x = 86,248.50 × 86,248.50
  4. Step 4: Simplify right side
    40,032x = 7,438,803,752.25
  5. Step 5: Solve for x
    x = 7,438,803,752.25/40,032
  6. Step 6: Final answer
    x = 185,821.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.