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Finding the Third Proportional to 15,724 and 24,410

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Solution

The third proportional to 15,724 and 24,410 is: 37,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 24,410 = 24,410 : x
  2. Step 2: Convert to fraction form
    15,724/24,410 = 24,410/x
  3. Step 3: Cross multiply
    15,724x = 24,410 × 24,410
  4. Step 4: Simplify right side
    15,724x = 595,848,100
  5. Step 5: Solve for x
    x = 595,848,100/15,724
  6. Step 6: Final answer
    x = 37,894.18

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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.