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Finding the Third Proportional to 45,829 and 70,960

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Solution

The third proportional to 45,829 and 70,960 is: 109,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829 : 70,960 = 70,960 : x
  2. Step 2: Convert to fraction form
    45,829/70,960 = 70,960/x
  3. Step 3: Cross multiply
    45,829x = 70,960 × 70,960
  4. Step 4: Simplify right side
    45,829x = 5,035,321,600
  5. Step 5: Solve for x
    x = 5,035,321,600/45,829
  6. Step 6: Final answer
    x = 109,871.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.