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Finding the Third Proportional to 15,887 and 24,258

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Solution

The third proportional to 15,887 and 24,258 is: 37,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887 : 24,258 = 24,258 : x
  2. Step 2: Convert to fraction form
    15,887/24,258 = 24,258/x
  3. Step 3: Cross multiply
    15,887x = 24,258 × 24,258
  4. Step 4: Simplify right side
    15,887x = 588,450,564
  5. Step 5: Solve for x
    x = 588,450,564/15,887
  6. Step 6: Final answer
    x = 37,039.75

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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.