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Finding the Third Proportional to 49,796 and 66,726

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Solution

The third proportional to 49,796 and 66,726 is: 89,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796 : 66,726 = 66,726 : x
  2. Step 2: Convert to fraction form
    49,796/66,726 = 66,726/x
  3. Step 3: Cross multiply
    49,796x = 66,726 × 66,726
  4. Step 4: Simplify right side
    49,796x = 4,452,359,076
  5. Step 5: Solve for x
    x = 4,452,359,076/49,796
  6. Step 6: Final answer
    x = 89,411.98

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.