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Finding the Third Proportional to 43,585 and 65,206

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Solution

The third proportional to 43,585 and 65,206 is: 97,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,585 : 65,206 = 65,206 : x
  2. Step 2: Convert to fraction form
    43,585/65,206 = 65,206/x
  3. Step 3: Cross multiply
    43,585x = 65,206 × 65,206
  4. Step 4: Simplify right side
    43,585x = 4,251,822,436
  5. Step 5: Solve for x
    x = 4,251,822,436/43,585
  6. Step 6: Final answer
    x = 97,552.42

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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.