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Finding the Third Proportional to 48,339 and 72,805.50

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Solution

The third proportional to 48,339 and 72,805.50 is: 109,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,339 : 72,805.50 = 72,805.50 : x
  2. Step 2: Convert to fraction form
    48,339/72,805.50 = 72,805.50/x
  3. Step 3: Cross multiply
    48,339x = 72,805.50 × 72,805.50
  4. Step 4: Simplify right side
    48,339x = 5,300,640,830.25
  5. Step 5: Solve for x
    x = 5,300,640,830.25/48,339
  6. Step 6: Final answer
    x = 109,655.57

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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.