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Finding the Third Proportional to 44,295 and 67,262.25

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Solution

The third proportional to 44,295 and 67,262.25 is: 102,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,295 : 67,262.25 = 67,262.25 : x
  2. Step 2: Convert to fraction form
    44,295/67,262.25 = 67,262.25/x
  3. Step 3: Cross multiply
    44,295x = 67,262.25 × 67,262.25
  4. Step 4: Simplify right side
    44,295x = 4,524,210,275.06
  5. Step 5: Solve for x
    x = 4,524,210,275.06/44,295
  6. Step 6: Final answer
    x = 102,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.