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Finding the Third Proportional to 9,681.19 and 14,176.69

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Solution

The third proportional to 9,681.19 and 14,176.69 is: 20,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.19 : 14,176.69 = 14,176.69 : x
  2. Step 2: Convert to fraction form
    9,681.19/14,176.69 = 14,176.69/x
  3. Step 3: Cross multiply
    9,681.19x = 14,176.69 × 14,176.69
  4. Step 4: Simplify right side
    9,681.19x = 200,978,468.47
  5. Step 5: Solve for x
    x = 200,978,468.47/9,681.19
  6. Step 6: Final answer
    x = 20,759.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.