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Finding the Third Proportional to 15,578.58 and 34,073.16

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Solution

The third proportional to 15,578.58 and 34,073.16 is: 74,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.58 : 34,073.16 = 34,073.16 : x
  2. Step 2: Convert to fraction form
    15,578.58/34,073.16 = 34,073.16/x
  3. Step 3: Cross multiply
    15,578.58x = 34,073.16 × 34,073.16
  4. Step 4: Simplify right side
    15,578.58x = 1,160,979,976.84
  5. Step 5: Solve for x
    x = 1,160,979,976.84/15,578.58
  6. Step 6: Final answer
    x = 74,524.13

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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.