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Finding the Third Proportional to 44,972 and 64,068

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Solution

The third proportional to 44,972 and 64,068 is: 91,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,972 : 64,068 = 64,068 : x
  2. Step 2: Convert to fraction form
    44,972/64,068 = 64,068/x
  3. Step 3: Cross multiply
    44,972x = 64,068 × 64,068
  4. Step 4: Simplify right side
    44,972x = 4,104,708,624
  5. Step 5: Solve for x
    x = 4,104,708,624/44,972
  6. Step 6: Final answer
    x = 91,272.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.