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Finding the Third Proportional to 48,340 and 79,552.50

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Solution

The third proportional to 48,340 and 79,552.50 is: 130,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,340 : 79,552.50 = 79,552.50 : x
  2. Step 2: Convert to fraction form
    48,340/79,552.50 = 79,552.50/x
  3. Step 3: Cross multiply
    48,340x = 79,552.50 × 79,552.50
  4. Step 4: Simplify right side
    48,340x = 6,328,600,256.25
  5. Step 5: Solve for x
    x = 6,328,600,256.25/48,340
  6. Step 6: Final answer
    x = 130,918.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.