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Finding the Third Proportional to 64,872 and 82,893

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Solution

The third proportional to 64,872 and 82,893 is: 105,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,872 : 82,893 = 82,893 : x
  2. Step 2: Convert to fraction form
    64,872/82,893 = 82,893/x
  3. Step 3: Cross multiply
    64,872x = 82,893 × 82,893
  4. Step 4: Simplify right side
    64,872x = 6,871,249,449
  5. Step 5: Solve for x
    x = 6,871,249,449/64,872
  6. Step 6: Final answer
    x = 105,920.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.