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Finding the Third Proportional to 24,685 and 53,750

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Solution

The third proportional to 24,685 and 53,750 is: 117,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,685 : 53,750 = 53,750 : x
  2. Step 2: Convert to fraction form
    24,685/53,750 = 53,750/x
  3. Step 3: Cross multiply
    24,685x = 53,750 × 53,750
  4. Step 4: Simplify right side
    24,685x = 2,889,062,500
  5. Step 5: Solve for x
    x = 2,889,062,500/24,685
  6. Step 6: Final answer
    x = 117,037.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.