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Finding the Third Proportional to 9,675.75 and 14,476.13

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Solution

The third proportional to 9,675.75 and 14,476.13 is: 21,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.75 : 14,476.13 = 14,476.13 : x
  2. Step 2: Convert to fraction form
    9,675.75/14,476.13 = 14,476.13/x
  3. Step 3: Cross multiply
    9,675.75x = 14,476.13 × 14,476.13
  4. Step 4: Simplify right side
    9,675.75x = 209,558,195.02
  5. Step 5: Solve for x
    x = 209,558,195.02/9,675.75
  6. Step 6: Final answer
    x = 21,658.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.