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Finding the Third Proportional to 48,351 and 77,656.50

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Solution

The third proportional to 48,351 and 77,656.50 is: 124,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,351 : 77,656.50 = 77,656.50 : x
  2. Step 2: Convert to fraction form
    48,351/77,656.50 = 77,656.50/x
  3. Step 3: Cross multiply
    48,351x = 77,656.50 × 77,656.50
  4. Step 4: Simplify right side
    48,351x = 6,030,531,992.25
  5. Step 5: Solve for x
    x = 6,030,531,992.25/48,351
  6. Step 6: Final answer
    x = 124,724.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.