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Finding the Third Proportional to 26,106.19 and 42,034.78

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Solution

The third proportional to 26,106.19 and 42,034.78 is: 67,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.19 : 42,034.78 = 42,034.78 : x
  2. Step 2: Convert to fraction form
    26,106.19/42,034.78 = 42,034.78/x
  3. Step 3: Cross multiply
    26,106.19x = 42,034.78 × 42,034.78
  4. Step 4: Simplify right side
    26,106.19x = 1,766,922,834.74
  5. Step 5: Solve for x
    x = 1,766,922,834.74/26,106.19
  6. Step 6: Final answer
    x = 67,682.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.