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Finding the Third Proportional to 83,424 and 83,424

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Solution

The third proportional to 83,424 and 83,424 is: 83,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424 : 83,424 = 83,424 : x
  2. Step 2: Convert to fraction form
    83,424/83,424 = 83,424/x
  3. Step 3: Cross multiply
    83,424x = 83,424 × 83,424
  4. Step 4: Simplify right side
    83,424x = 6,959,563,776
  5. Step 5: Solve for x
    x = 6,959,563,776/83,424
  6. Step 6: Final answer
    x = 83,424

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.