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Finding the Third Proportional to 9,875.67 and 17,074.55

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Solution

The third proportional to 9,875.67 and 17,074.55 is: 29,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.67 : 17,074.55 = 17,074.55 : x
  2. Step 2: Convert to fraction form
    9,875.67/17,074.55 = 17,074.55/x
  3. Step 3: Cross multiply
    9,875.67x = 17,074.55 × 17,074.55
  4. Step 4: Simplify right side
    9,875.67x = 291,540,150.99
  5. Step 5: Solve for x
    x = 291,540,150.99/9,875.67
  6. Step 6: Final answer
    x = 29,521.04

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.