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Finding the Third Proportional to 48,300 and 75,396

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Solution

The third proportional to 48,300 and 75,396 is: 117,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300 : 75,396 = 75,396 : x
  2. Step 2: Convert to fraction form
    48,300/75,396 = 75,396/x
  3. Step 3: Cross multiply
    48,300x = 75,396 × 75,396
  4. Step 4: Simplify right side
    48,300x = 5,684,556,816
  5. Step 5: Solve for x
    x = 5,684,556,816/48,300
  6. Step 6: Final answer
    x = 117,692.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.