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Finding the Third Proportional to 26,050 and 38,587

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Solution

The third proportional to 26,050 and 38,587 is: 57,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,050 : 38,587 = 38,587 : x
  2. Step 2: Convert to fraction form
    26,050/38,587 = 38,587/x
  3. Step 3: Cross multiply
    26,050x = 38,587 × 38,587
  4. Step 4: Simplify right side
    26,050x = 1,488,956,569
  5. Step 5: Solve for x
    x = 1,488,956,569/26,050
  6. Step 6: Final answer
    x = 57,157.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.