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Finding the Third Proportional to 26,937.56 and 42,775.59

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Solution

The third proportional to 26,937.56 and 42,775.59 is: 67,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937.56 : 42,775.59 = 42,775.59 : x
  2. Step 2: Convert to fraction form
    26,937.56/42,775.59 = 42,775.59/x
  3. Step 3: Cross multiply
    26,937.56x = 42,775.59 × 42,775.59
  4. Step 4: Simplify right side
    26,937.56x = 1,829,751,420.67
  5. Step 5: Solve for x
    x = 1,829,751,420.67/26,937.56
  6. Step 6: Final answer
    x = 67,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.