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Finding the Third Proportional to 9,703.13 and 17,128.13

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Solution

The third proportional to 9,703.13 and 17,128.13 is: 30,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.13 : 17,128.13 = 17,128.13 : x
  2. Step 2: Convert to fraction form
    9,703.13/17,128.13 = 17,128.13/x
  3. Step 3: Cross multiply
    9,703.13x = 17,128.13 × 17,128.13
  4. Step 4: Simplify right side
    9,703.13x = 293,372,666.02
  5. Step 5: Solve for x
    x = 293,372,666.02/9,703.13
  6. Step 6: Final answer
    x = 30,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.