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Finding the Third Proportional to 34,516 and 70,972

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Solution

The third proportional to 34,516 and 70,972 is: 145,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516 : 70,972 = 70,972 : x
  2. Step 2: Convert to fraction form
    34,516/70,972 = 70,972/x
  3. Step 3: Cross multiply
    34,516x = 70,972 × 70,972
  4. Step 4: Simplify right side
    34,516x = 5,037,024,784
  5. Step 5: Solve for x
    x = 5,037,024,784/34,516
  6. Step 6: Final answer
    x = 145,933.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.