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Finding the Third Proportional to 42,014 and 63,021

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Solution

The third proportional to 42,014 and 63,021 is: 94,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014 : 63,021 = 63,021 : x
  2. Step 2: Convert to fraction form
    42,014/63,021 = 63,021/x
  3. Step 3: Cross multiply
    42,014x = 63,021 × 63,021
  4. Step 4: Simplify right side
    42,014x = 3,971,646,441
  5. Step 5: Solve for x
    x = 3,971,646,441/42,014
  6. Step 6: Final answer
    x = 94,531.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.