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Finding the Third Proportional to 35,746 and 76,972

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Solution

The third proportional to 35,746 and 76,972 is: 165,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746 : 76,972 = 76,972 : x
  2. Step 2: Convert to fraction form
    35,746/76,972 = 76,972/x
  3. Step 3: Cross multiply
    35,746x = 76,972 × 76,972
  4. Step 4: Simplify right side
    35,746x = 5,924,688,784
  5. Step 5: Solve for x
    x = 5,924,688,784/35,746
  6. Step 6: Final answer
    x = 165,744.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.