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Finding the Third Proportional to 9,145.13 and 14,097.38

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Solution

The third proportional to 9,145.13 and 14,097.38 is: 21,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.13 : 14,097.38 = 14,097.38 : x
  2. Step 2: Convert to fraction form
    9,145.13/14,097.38 = 14,097.38/x
  3. Step 3: Cross multiply
    9,145.13x = 14,097.38 × 14,097.38
  4. Step 4: Simplify right side
    9,145.13x = 198,735,981.89
  5. Step 5: Solve for x
    x = 198,735,981.89/9,145.13
  6. Step 6: Final answer
    x = 21,731.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.