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Finding the Third Proportional to 53,484 and 82,800

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Solution

The third proportional to 53,484 and 82,800 is: 128,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 82,800 = 82,800 : x
  2. Step 2: Convert to fraction form
    53,484/82,800 = 82,800/x
  3. Step 3: Cross multiply
    53,484x = 82,800 × 82,800
  4. Step 4: Simplify right side
    53,484x = 6,855,840,000
  5. Step 5: Solve for x
    x = 6,855,840,000/53,484
  6. Step 6: Final answer
    x = 128,184.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.