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Finding the Third Proportional to 9,870.38 and 12,805.88

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Solution

The third proportional to 9,870.38 and 12,805.88 is: 16,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.38 : 12,805.88 = 12,805.88 : x
  2. Step 2: Convert to fraction form
    9,870.38/12,805.88 = 12,805.88/x
  3. Step 3: Cross multiply
    9,870.38x = 12,805.88 × 12,805.88
  4. Step 4: Simplify right side
    9,870.38x = 163,990,434.52
  5. Step 5: Solve for x
    x = 163,990,434.52/9,870.38
  6. Step 6: Final answer
    x = 16,614.41

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.