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Finding the Third Proportional to 43,754 and 64,706

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Solution

The third proportional to 43,754 and 64,706 is: 95,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,754 : 64,706 = 64,706 : x
  2. Step 2: Convert to fraction form
    43,754/64,706 = 64,706/x
  3. Step 3: Cross multiply
    43,754x = 64,706 × 64,706
  4. Step 4: Simplify right side
    43,754x = 4,186,866,436
  5. Step 5: Solve for x
    x = 4,186,866,436/43,754
  6. Step 6: Final answer
    x = 95,691.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.