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Finding the Third Proportional to 35,577 and 75,534

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Solution

The third proportional to 35,577 and 75,534 is: 160,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577 : 75,534 = 75,534 : x
  2. Step 2: Convert to fraction form
    35,577/75,534 = 75,534/x
  3. Step 3: Cross multiply
    35,577x = 75,534 × 75,534
  4. Step 4: Simplify right side
    35,577x = 5,705,385,156
  5. Step 5: Solve for x
    x = 5,705,385,156/35,577
  6. Step 6: Final answer
    x = 160,367.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.