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Finding the Third Proportional to 27,762 and 44,403

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Solution

The third proportional to 27,762 and 44,403 is: 71,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762 : 44,403 = 44,403 : x
  2. Step 2: Convert to fraction form
    27,762/44,403 = 44,403/x
  3. Step 3: Cross multiply
    27,762x = 44,403 × 44,403
  4. Step 4: Simplify right side
    27,762x = 1,971,626,409
  5. Step 5: Solve for x
    x = 1,971,626,409/27,762
  6. Step 6: Final answer
    x = 71,018.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.