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Finding the Third Proportional to 26,588 and 56,416

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Solution

The third proportional to 26,588 and 56,416 is: 119,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588 : 56,416 = 56,416 : x
  2. Step 2: Convert to fraction form
    26,588/56,416 = 56,416/x
  3. Step 3: Cross multiply
    26,588x = 56,416 × 56,416
  4. Step 4: Simplify right side
    26,588x = 3,182,765,056
  5. Step 5: Solve for x
    x = 3,182,765,056/26,588
  6. Step 6: Final answer
    x = 119,706.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.