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Finding the Third Proportional to 34,495 and 47,496

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Solution

The third proportional to 34,495 and 47,496 is: 65,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495 : 47,496 = 47,496 : x
  2. Step 2: Convert to fraction form
    34,495/47,496 = 47,496/x
  3. Step 3: Cross multiply
    34,495x = 47,496 × 47,496
  4. Step 4: Simplify right side
    34,495x = 2,255,870,016
  5. Step 5: Solve for x
    x = 2,255,870,016/34,495
  6. Step 6: Final answer
    x = 65,397.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.