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Finding the Third Proportional to 38,220 and 51,901.50

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Solution

The third proportional to 38,220 and 51,901.50 is: 70,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220 : 51,901.50 = 51,901.50 : x
  2. Step 2: Convert to fraction form
    38,220/51,901.50 = 51,901.50/x
  3. Step 3: Cross multiply
    38,220x = 51,901.50 × 51,901.50
  4. Step 4: Simplify right side
    38,220x = 2,693,765,702.25
  5. Step 5: Solve for x
    x = 2,693,765,702.25/38,220
  6. Step 6: Final answer
    x = 70,480.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.