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Finding the Third Proportional to 9,784.13 and 17,290.13

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Solution

The third proportional to 9,784.13 and 17,290.13 is: 30,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.13 : 17,290.13 = 17,290.13 : x
  2. Step 2: Convert to fraction form
    9,784.13/17,290.13 = 17,290.13/x
  3. Step 3: Cross multiply
    9,784.13x = 17,290.13 × 17,290.13
  4. Step 4: Simplify right side
    9,784.13x = 298,948,422.52
  5. Step 5: Solve for x
    x = 298,948,422.52/9,784.13
  6. Step 6: Final answer
    x = 30,554.44

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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.