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Finding the Third Proportional to 44,310 and 65,169

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Solution

The third proportional to 44,310 and 65,169 is: 95,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,310 : 65,169 = 65,169 : x
  2. Step 2: Convert to fraction form
    44,310/65,169 = 65,169/x
  3. Step 3: Cross multiply
    44,310x = 65,169 × 65,169
  4. Step 4: Simplify right side
    44,310x = 4,246,998,561
  5. Step 5: Solve for x
    x = 4,246,998,561/44,310
  6. Step 6: Final answer
    x = 95,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.