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Finding the Third Proportional to 15,024.23 and 32,456.95

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Solution

The third proportional to 15,024.23 and 32,456.95 is: 70,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024.23 : 32,456.95 = 32,456.95 : x
  2. Step 2: Convert to fraction form
    15,024.23/32,456.95 = 32,456.95/x
  3. Step 3: Cross multiply
    15,024.23x = 32,456.95 × 32,456.95
  4. Step 4: Simplify right side
    15,024.23x = 1,053,453,806.16
  5. Step 5: Solve for x
    x = 1,053,453,806.16/15,024.23
  6. Step 6: Final answer
    x = 70,116.97

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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.