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Finding the Third Proportional to 47,799 and 70,006.50

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Solution

The third proportional to 47,799 and 70,006.50 is: 102,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 70,006.50 = 70,006.50 : x
  2. Step 2: Convert to fraction form
    47,799/70,006.50 = 70,006.50/x
  3. Step 3: Cross multiply
    47,799x = 70,006.50 × 70,006.50
  4. Step 4: Simplify right side
    47,799x = 4,900,910,042.25
  5. Step 5: Solve for x
    x = 4,900,910,042.25/47,799
  6. Step 6: Final answer
    x = 102,531.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.