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Finding the Third Proportional to 26,106.50 and 42,035.28

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Solution

The third proportional to 26,106.50 and 42,035.28 is: 67,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.50 : 42,035.28 = 42,035.28 : x
  2. Step 2: Convert to fraction form
    26,106.50/42,035.28 = 42,035.28/x
  3. Step 3: Cross multiply
    26,106.50x = 42,035.28 × 42,035.28
  4. Step 4: Simplify right side
    26,106.50x = 1,766,964,869.77
  5. Step 5: Solve for x
    x = 1,766,964,869.77/26,106.50
  6. Step 6: Final answer
    x = 67,682.95

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