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Finding the Third Proportional to 37,603.30 and 75,821.70

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Solution

The third proportional to 37,603.30 and 75,821.70 is: 152,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603.30 : 75,821.70 = 75,821.70 : x
  2. Step 2: Convert to fraction form
    37,603.30/75,821.70 = 75,821.70/x
  3. Step 3: Cross multiply
    37,603.30x = 75,821.70 × 75,821.70
  4. Step 4: Simplify right side
    37,603.30x = 5,748,929,480.06
  5. Step 5: Solve for x
    x = 5,748,929,480.06/37,603.30
  6. Step 6: Final answer
    x = 152,883.64

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.