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Finding the Third Proportional to 15,154.50 and 32,721

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Solution

The third proportional to 15,154.50 and 32,721 is: 70,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.50 : 32,721 = 32,721 : x
  2. Step 2: Convert to fraction form
    15,154.50/32,721 = 32,721/x
  3. Step 3: Cross multiply
    15,154.50x = 32,721 × 32,721
  4. Step 4: Simplify right side
    15,154.50x = 1,070,663,841
  5. Step 5: Solve for x
    x = 1,070,663,841/15,154.50
  6. Step 6: Final answer
    x = 70,649.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.