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Finding the Third Proportional to 24,176 and 52,957

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Solution

The third proportional to 24,176 and 52,957 is: 116,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176 : 52,957 = 52,957 : x
  2. Step 2: Convert to fraction form
    24,176/52,957 = 52,957/x
  3. Step 3: Cross multiply
    24,176x = 52,957 × 52,957
  4. Step 4: Simplify right side
    24,176x = 2,804,443,849
  5. Step 5: Solve for x
    x = 2,804,443,849/24,176
  6. Step 6: Final answer
    x = 116,001.15

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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.