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Finding the Third Proportional to 30,820.50 and 65,620.13

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Solution

The third proportional to 30,820.50 and 65,620.13 is: 139,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 65,620.13 = 65,620.13 : x
  2. Step 2: Convert to fraction form
    30,820.50/65,620.13 = 65,620.13/x
  3. Step 3: Cross multiply
    30,820.50x = 65,620.13 × 65,620.13
  4. Step 4: Simplify right side
    30,820.50x = 4,306,000,805.02
  5. Step 5: Solve for x
    x = 4,306,000,805.02/30,820.50
  6. Step 6: Final answer
    x = 139,712.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.