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Finding the Third Proportional to 42,950.75 and 65,537

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Solution

The third proportional to 42,950.75 and 65,537 is: 100,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,950.75 : 65,537 = 65,537 : x
  2. Step 2: Convert to fraction form
    42,950.75/65,537 = 65,537/x
  3. Step 3: Cross multiply
    42,950.75x = 65,537 × 65,537
  4. Step 4: Simplify right side
    42,950.75x = 4,295,098,369
  5. Step 5: Solve for x
    x = 4,295,098,369/42,950.75
  6. Step 6: Final answer
    x = 100,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.