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Finding the Third Proportional to 33,248.50 and 72,856

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Solution

The third proportional to 33,248.50 and 72,856 is: 159,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248.50 : 72,856 = 72,856 : x
  2. Step 2: Convert to fraction form
    33,248.50/72,856 = 72,856/x
  3. Step 3: Cross multiply
    33,248.50x = 72,856 × 72,856
  4. Step 4: Simplify right side
    33,248.50x = 5,307,996,736
  5. Step 5: Solve for x
    x = 5,307,996,736/33,248.50
  6. Step 6: Final answer
    x = 159,646.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.