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Finding the Third Proportional to 15,486 and 24,033

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Solution

The third proportional to 15,486 and 24,033 is: 37,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486 : 24,033 = 24,033 : x
  2. Step 2: Convert to fraction form
    15,486/24,033 = 24,033/x
  3. Step 3: Cross multiply
    15,486x = 24,033 × 24,033
  4. Step 4: Simplify right side
    15,486x = 577,585,089
  5. Step 5: Solve for x
    x = 577,585,089/15,486
  6. Step 6: Final answer
    x = 37,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.