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Finding the Third Proportional to 6,134.63 and 9,729.38

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Solution

The third proportional to 6,134.63 and 9,729.38 is: 15,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.63 : 9,729.38 = 9,729.38 : x
  2. Step 2: Convert to fraction form
    6,134.63/9,729.38 = 9,729.38/x
  3. Step 3: Cross multiply
    6,134.63x = 9,729.38 × 9,729.38
  4. Step 4: Simplify right side
    6,134.63x = 94,660,737.89
  5. Step 5: Solve for x
    x = 94,660,737.89/6,134.63
  6. Step 6: Final answer
    x = 15,430.57

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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.