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Finding the Third Proportional to 44,313 and 65,820

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Solution

The third proportional to 44,313 and 65,820 is: 97,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,313 : 65,820 = 65,820 : x
  2. Step 2: Convert to fraction form
    44,313/65,820 = 65,820/x
  3. Step 3: Cross multiply
    44,313x = 65,820 × 65,820
  4. Step 4: Simplify right side
    44,313x = 4,332,272,400
  5. Step 5: Solve for x
    x = 4,332,272,400/44,313
  6. Step 6: Final answer
    x = 97,765.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.