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Finding the Third Proportional to 52,024.50 and 79,006.50

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Solution

The third proportional to 52,024.50 and 79,006.50 is: 119,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.50 : 79,006.50 = 79,006.50 : x
  2. Step 2: Convert to fraction form
    52,024.50/79,006.50 = 79,006.50/x
  3. Step 3: Cross multiply
    52,024.50x = 79,006.50 × 79,006.50
  4. Step 4: Simplify right side
    52,024.50x = 6,242,027,042.25
  5. Step 5: Solve for x
    x = 6,242,027,042.25/52,024.50
  6. Step 6: Final answer
    x = 119,982.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.