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Finding the Third Proportional to 15,466 and 23,494

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Solution

The third proportional to 15,466 and 23,494 is: 35,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466 : 23,494 = 23,494 : x
  2. Step 2: Convert to fraction form
    15,466/23,494 = 23,494/x
  3. Step 3: Cross multiply
    15,466x = 23,494 × 23,494
  4. Step 4: Simplify right side
    15,466x = 551,968,036
  5. Step 5: Solve for x
    x = 551,968,036/15,466
  6. Step 6: Final answer
    x = 35,689.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.