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Finding the Third Proportional to 47,827 and 70,282

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Solution

The third proportional to 47,827 and 70,282 is: 103,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,827 : 70,282 = 70,282 : x
  2. Step 2: Convert to fraction form
    47,827/70,282 = 70,282/x
  3. Step 3: Cross multiply
    47,827x = 70,282 × 70,282
  4. Step 4: Simplify right side
    47,827x = 4,939,559,524
  5. Step 5: Solve for x
    x = 4,939,559,524/47,827
  6. Step 6: Final answer
    x = 103,279.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.