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Finding the Third Proportional to 5,892.75 and 9,482.06

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Solution

The third proportional to 5,892.75 and 9,482.06 is: 15,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.75 : 9,482.06 = 9,482.06 : x
  2. Step 2: Convert to fraction form
    5,892.75/9,482.06 = 9,482.06/x
  3. Step 3: Cross multiply
    5,892.75x = 9,482.06 × 9,482.06
  4. Step 4: Simplify right side
    5,892.75x = 89,909,509.25
  5. Step 5: Solve for x
    x = 89,909,509.25/5,892.75
  6. Step 6: Final answer
    x = 15,257.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.