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Finding the Third Proportional to 15,651.50 and 23,484

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Solution

The third proportional to 15,651.50 and 23,484 is: 35,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,651.50 : 23,484 = 23,484 : x
  2. Step 2: Convert to fraction form
    15,651.50/23,484 = 23,484/x
  3. Step 3: Cross multiply
    15,651.50x = 23,484 × 23,484
  4. Step 4: Simplify right side
    15,651.50x = 551,498,256
  5. Step 5: Solve for x
    x = 551,498,256/15,651.50
  6. Step 6: Final answer
    x = 35,236.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.