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Finding the Third Proportional to 15,320 and 23,486

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Solution

The third proportional to 15,320 and 23,486 is: 36,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,320 : 23,486 = 23,486 : x
  2. Step 2: Convert to fraction form
    15,320/23,486 = 23,486/x
  3. Step 3: Cross multiply
    15,320x = 23,486 × 23,486
  4. Step 4: Simplify right side
    15,320x = 551,592,196
  5. Step 5: Solve for x
    x = 551,592,196/15,320
  6. Step 6: Final answer
    x = 36,004.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.