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Finding the Third Proportional to 15,285.38 and 31,552.88

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Solution

The third proportional to 15,285.38 and 31,552.88 is: 65,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.38 : 31,552.88 = 31,552.88 : x
  2. Step 2: Convert to fraction form
    15,285.38/31,552.88 = 31,552.88/x
  3. Step 3: Cross multiply
    15,285.38x = 31,552.88 × 31,552.88
  4. Step 4: Simplify right side
    15,285.38x = 995,583,920.77
  5. Step 5: Solve for x
    x = 995,583,920.77/15,285.38
  6. Step 6: Final answer
    x = 65,133.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.