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Finding the Third Proportional to 31,080 and 48,460

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Solution

The third proportional to 31,080 and 48,460 is: 75,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080 : 48,460 = 48,460 : x
  2. Step 2: Convert to fraction form
    31,080/48,460 = 48,460/x
  3. Step 3: Cross multiply
    31,080x = 48,460 × 48,460
  4. Step 4: Simplify right side
    31,080x = 2,348,371,600
  5. Step 5: Solve for x
    x = 2,348,371,600/31,080
  6. Step 6: Final answer
    x = 75,558.93

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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.