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Finding the Third Proportional to 4,306.13 and 9,805.31

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Solution

The third proportional to 4,306.13 and 9,805.31 is: 22,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.13 : 9,805.31 = 9,805.31 : x
  2. Step 2: Convert to fraction form
    4,306.13/9,805.31 = 9,805.31/x
  3. Step 3: Cross multiply
    4,306.13x = 9,805.31 × 9,805.31
  4. Step 4: Simplify right side
    4,306.13x = 96,144,153.22
  5. Step 5: Solve for x
    x = 96,144,153.22/4,306.13
  6. Step 6: Final answer
    x = 22,327.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.