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Finding the Third Proportional to 44,527 and 69,343

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Solution

The third proportional to 44,527 and 69,343 is: 107,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,527 : 69,343 = 69,343 : x
  2. Step 2: Convert to fraction form
    44,527/69,343 = 69,343/x
  3. Step 3: Cross multiply
    44,527x = 69,343 × 69,343
  4. Step 4: Simplify right side
    44,527x = 4,808,451,649
  5. Step 5: Solve for x
    x = 4,808,451,649/44,527
  6. Step 6: Final answer
    x = 107,989.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.