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Finding the Third Proportional to 31,246 and 48,862

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Solution

The third proportional to 31,246 and 48,862 is: 76,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246 : 48,862 = 48,862 : x
  2. Step 2: Convert to fraction form
    31,246/48,862 = 48,862/x
  3. Step 3: Cross multiply
    31,246x = 48,862 × 48,862
  4. Step 4: Simplify right side
    31,246x = 2,387,495,044
  5. Step 5: Solve for x
    x = 2,387,495,044/31,246
  6. Step 6: Final answer
    x = 76,409.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.