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Finding the Third Proportional to 35,762 and 52,427

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Solution

The third proportional to 35,762 and 52,427 is: 76,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762 : 52,427 = 52,427 : x
  2. Step 2: Convert to fraction form
    35,762/52,427 = 52,427/x
  3. Step 3: Cross multiply
    35,762x = 52,427 × 52,427
  4. Step 4: Simplify right side
    35,762x = 2,748,590,329
  5. Step 5: Solve for x
    x = 2,748,590,329/35,762
  6. Step 6: Final answer
    x = 76,857.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.