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Finding the Third Proportional to 44,823 and 69,402

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Solution

The third proportional to 44,823 and 69,402 is: 107,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,823 : 69,402 = 69,402 : x
  2. Step 2: Convert to fraction form
    44,823/69,402 = 69,402/x
  3. Step 3: Cross multiply
    44,823x = 69,402 × 69,402
  4. Step 4: Simplify right side
    44,823x = 4,816,637,604
  5. Step 5: Solve for x
    x = 4,816,637,604/44,823
  6. Step 6: Final answer
    x = 107,459.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.