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Finding the Third Proportional to 7,187.13 and 9,896.81

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Solution

The third proportional to 7,187.13 and 9,896.81 is: 13,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.13 : 9,896.81 = 9,896.81 : x
  2. Step 2: Convert to fraction form
    7,187.13/9,896.81 = 9,896.81/x
  3. Step 3: Cross multiply
    7,187.13x = 9,896.81 × 9,896.81
  4. Step 4: Simplify right side
    7,187.13x = 97,946,897.66
  5. Step 5: Solve for x
    x = 97,946,897.66/7,187.13
  6. Step 6: Final answer
    x = 13,628.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.