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Finding the Third Proportional to 35,442 and 48,155

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Solution

The third proportional to 35,442 and 48,155 is: 65,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442 : 48,155 = 48,155 : x
  2. Step 2: Convert to fraction form
    35,442/48,155 = 48,155/x
  3. Step 3: Cross multiply
    35,442x = 48,155 × 48,155
  4. Step 4: Simplify right side
    35,442x = 2,318,904,025
  5. Step 5: Solve for x
    x = 2,318,904,025/35,442
  6. Step 6: Final answer
    x = 65,428.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.