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Finding the Third Proportional to 44,295 and 66,319

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Solution

The third proportional to 44,295 and 66,319 is: 99,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,295 : 66,319 = 66,319 : x
  2. Step 2: Convert to fraction form
    44,295/66,319 = 66,319/x
  3. Step 3: Cross multiply
    44,295x = 66,319 × 66,319
  4. Step 4: Simplify right side
    44,295x = 4,398,209,761
  5. Step 5: Solve for x
    x = 4,398,209,761/44,295
  6. Step 6: Final answer
    x = 99,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.