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Finding the Third Proportional to 39,864 and 62,222

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Solution

The third proportional to 39,864 and 62,222 is: 97,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 62,222 = 62,222 : x
  2. Step 2: Convert to fraction form
    39,864/62,222 = 62,222/x
  3. Step 3: Cross multiply
    39,864x = 62,222 × 62,222
  4. Step 4: Simplify right side
    39,864x = 3,871,577,284
  5. Step 5: Solve for x
    x = 3,871,577,284/39,864
  6. Step 6: Final answer
    x = 97,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.