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Finding the Third Proportional to 42,430 and 64,761

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Solution

The third proportional to 42,430 and 64,761 is: 98,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430 : 64,761 = 64,761 : x
  2. Step 2: Convert to fraction form
    42,430/64,761 = 64,761/x
  3. Step 3: Cross multiply
    42,430x = 64,761 × 64,761
  4. Step 4: Simplify right side
    42,430x = 4,193,987,121
  5. Step 5: Solve for x
    x = 4,193,987,121/42,430
  6. Step 6: Final answer
    x = 98,844.85

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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.