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Finding the Third Proportional to 6,036.38 and 9,605.06

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Solution

The third proportional to 6,036.38 and 9,605.06 is: 15,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.38 : 9,605.06 = 9,605.06 : x
  2. Step 2: Convert to fraction form
    6,036.38/9,605.06 = 9,605.06/x
  3. Step 3: Cross multiply
    6,036.38x = 9,605.06 × 9,605.06
  4. Step 4: Simplify right side
    6,036.38x = 92,257,225.63
  5. Step 5: Solve for x
    x = 92,257,225.63/6,036.38
  6. Step 6: Final answer
    x = 15,283.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.