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Finding the Third Proportional to 35,741.20 and 77,366.55

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Solution

The third proportional to 35,741.20 and 77,366.55 is: 167,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.20 : 77,366.55 = 77,366.55 : x
  2. Step 2: Convert to fraction form
    35,741.20/77,366.55 = 77,366.55/x
  3. Step 3: Cross multiply
    35,741.20x = 77,366.55 × 77,366.55
  4. Step 4: Simplify right side
    35,741.20x = 5,985,582,877.57
  5. Step 5: Solve for x
    x = 5,985,582,877.57/35,741.20
  6. Step 6: Final answer
    x = 167,470.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.