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Finding the Third Proportional to 43,560 and 65,170.13

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Solution

The third proportional to 43,560 and 65,170.13 is: 97,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,560 : 65,170.13 = 65,170.13 : x
  2. Step 2: Convert to fraction form
    43,560/65,170.13 = 65,170.13/x
  3. Step 3: Cross multiply
    43,560x = 65,170.13 × 65,170.13
  4. Step 4: Simplify right side
    43,560x = 4,247,145,192.52
  5. Step 5: Solve for x
    x = 4,247,145,192.52/43,560
  6. Step 6: Final answer
    x = 97,501.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.