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Finding the Third Proportional to 43,543.50 and 65,146

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Solution

The third proportional to 43,543.50 and 65,146 is: 97,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,543.50 : 65,146 = 65,146 : x
  2. Step 2: Convert to fraction form
    43,543.50/65,146 = 65,146/x
  3. Step 3: Cross multiply
    43,543.50x = 65,146 × 65,146
  4. Step 4: Simplify right side
    43,543.50x = 4,244,001,316
  5. Step 5: Solve for x
    x = 4,244,001,316/43,543.50
  6. Step 6: Final answer
    x = 97,465.78

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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.