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Finding the Third Proportional to 15,146 and 31,518

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Solution

The third proportional to 15,146 and 31,518 is: 65,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 31,518 = 31,518 : x
  2. Step 2: Convert to fraction form
    15,146/31,518 = 31,518/x
  3. Step 3: Cross multiply
    15,146x = 31,518 × 31,518
  4. Step 4: Simplify right side
    15,146x = 993,384,324
  5. Step 5: Solve for x
    x = 993,384,324/15,146
  6. Step 6: Final answer
    x = 65,587.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.