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Finding the Third Proportional to 42,567 and 64,443

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Solution

The third proportional to 42,567 and 64,443 is: 97,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,567 : 64,443 = 64,443 : x
  2. Step 2: Convert to fraction form
    42,567/64,443 = 64,443/x
  3. Step 3: Cross multiply
    42,567x = 64,443 × 64,443
  4. Step 4: Simplify right side
    42,567x = 4,152,900,249
  5. Step 5: Solve for x
    x = 4,152,900,249/42,567
  6. Step 6: Final answer
    x = 97,561.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.