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Finding the Third Proportional to 24,659 and 53,931

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Solution

The third proportional to 24,659 and 53,931 is: 117,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659 : 53,931 = 53,931 : x
  2. Step 2: Convert to fraction form
    24,659/53,931 = 53,931/x
  3. Step 3: Cross multiply
    24,659x = 53,931 × 53,931
  4. Step 4: Simplify right side
    24,659x = 2,908,552,761
  5. Step 5: Solve for x
    x = 2,908,552,761/24,659
  6. Step 6: Final answer
    x = 117,950.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.