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Finding the Third Proportional to 44,588 and 69,263

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Solution

The third proportional to 44,588 and 69,263 is: 107,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,588 : 69,263 = 69,263 : x
  2. Step 2: Convert to fraction form
    44,588/69,263 = 69,263/x
  3. Step 3: Cross multiply
    44,588x = 69,263 × 69,263
  4. Step 4: Simplify right side
    44,588x = 4,797,363,169
  5. Step 5: Solve for x
    x = 4,797,363,169/44,588
  6. Step 6: Final answer
    x = 107,593.15

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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.