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Finding the Third Proportional to 15,413 and 31,555

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Solution

The third proportional to 15,413 and 31,555 is: 64,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413 : 31,555 = 31,555 : x
  2. Step 2: Convert to fraction form
    15,413/31,555 = 31,555/x
  3. Step 3: Cross multiply
    15,413x = 31,555 × 31,555
  4. Step 4: Simplify right side
    15,413x = 995,718,025
  5. Step 5: Solve for x
    x = 995,718,025/15,413
  6. Step 6: Final answer
    x = 64,602.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.