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Finding the Third Proportional to 5,809.64 and 9,233.58

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Solution

The third proportional to 5,809.64 and 9,233.58 is: 14,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.64 : 9,233.58 = 9,233.58 : x
  2. Step 2: Convert to fraction form
    5,809.64/9,233.58 = 9,233.58/x
  3. Step 3: Cross multiply
    5,809.64x = 9,233.58 × 9,233.58
  4. Step 4: Simplify right side
    5,809.64x = 85,258,964.99
  5. Step 5: Solve for x
    x = 85,258,964.99/5,809.64
  6. Step 6: Final answer
    x = 14,675.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.