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Finding the Third Proportional to 6,097.78 and 13,165.03

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Solution

The third proportional to 6,097.78 and 13,165.03 is: 28,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 13,165.03 = 13,165.03 : x
  2. Step 2: Convert to fraction form
    6,097.78/13,165.03 = 13,165.03/x
  3. Step 3: Cross multiply
    6,097.78x = 13,165.03 × 13,165.03
  4. Step 4: Simplify right side
    6,097.78x = 173,318,047.81
  5. Step 5: Solve for x
    x = 173,318,047.81/6,097.78
  6. Step 6: Final answer
    x = 28,423.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.