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Finding the Third Proportional to 43,789 and 69,429

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Solution

The third proportional to 43,789 and 69,429 is: 110,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789 : 69,429 = 69,429 : x
  2. Step 2: Convert to fraction form
    43,789/69,429 = 69,429/x
  3. Step 3: Cross multiply
    43,789x = 69,429 × 69,429
  4. Step 4: Simplify right side
    43,789x = 4,820,386,041
  5. Step 5: Solve for x
    x = 4,820,386,041/43,789
  6. Step 6: Final answer
    x = 110,082.12

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