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Finding the Third Proportional to 24,886 and 52,076

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Solution

The third proportional to 24,886 and 52,076 is: 108,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886 : 52,076 = 52,076 : x
  2. Step 2: Convert to fraction form
    24,886/52,076 = 52,076/x
  3. Step 3: Cross multiply
    24,886x = 52,076 × 52,076
  4. Step 4: Simplify right side
    24,886x = 2,711,909,776
  5. Step 5: Solve for x
    x = 2,711,909,776/24,886
  6. Step 6: Final answer
    x = 108,973.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.