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Finding the Third Proportional to 9,802.69 and 11,485.13

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Solution

The third proportional to 9,802.69 and 11,485.13 is: 13,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.69 : 11,485.13 = 11,485.13 : x
  2. Step 2: Convert to fraction form
    9,802.69/11,485.13 = 11,485.13/x
  3. Step 3: Cross multiply
    9,802.69x = 11,485.13 × 11,485.13
  4. Step 4: Simplify right side
    9,802.69x = 131,908,096.27
  5. Step 5: Solve for x
    x = 131,908,096.27/9,802.69
  6. Step 6: Final answer
    x = 13,456.32

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.