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Finding the Third Proportional to 48,201 and 72,979.50

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Solution

The third proportional to 48,201 and 72,979.50 is: 110,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201 : 72,979.50 = 72,979.50 : x
  2. Step 2: Convert to fraction form
    48,201/72,979.50 = 72,979.50/x
  3. Step 3: Cross multiply
    48,201x = 72,979.50 × 72,979.50
  4. Step 4: Simplify right side
    48,201x = 5,326,007,420.25
  5. Step 5: Solve for x
    x = 5,326,007,420.25/48,201
  6. Step 6: Final answer
    x = 110,495.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.