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Finding the Third Proportional to 9,730.13 and 11,161.13

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Solution

The third proportional to 9,730.13 and 11,161.13 is: 12,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 11,161.13 = 11,161.13 : x
  2. Step 2: Convert to fraction form
    9,730.13/11,161.13 = 11,161.13/x
  3. Step 3: Cross multiply
    9,730.13x = 11,161.13 × 11,161.13
  4. Step 4: Simplify right side
    9,730.13x = 124,570,711.27
  5. Step 5: Solve for x
    x = 124,570,711.27/9,730.13
  6. Step 6: Final answer
    x = 12,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.