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Finding the Third Proportional to 15,827 and 24,506

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Solution

The third proportional to 15,827 and 24,506 is: 37,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827 : 24,506 = 24,506 : x
  2. Step 2: Convert to fraction form
    15,827/24,506 = 24,506/x
  3. Step 3: Cross multiply
    15,827x = 24,506 × 24,506
  4. Step 4: Simplify right side
    15,827x = 600,544,036
  5. Step 5: Solve for x
    x = 600,544,036/15,827
  6. Step 6: Final answer
    x = 37,944.27

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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.