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Finding the Third Proportional to 9,460.13 and 20,395.13

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Solution

The third proportional to 9,460.13 and 20,395.13 is: 43,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.13 : 20,395.13 = 20,395.13 : x
  2. Step 2: Convert to fraction form
    9,460.13/20,395.13 = 20,395.13/x
  3. Step 3: Cross multiply
    9,460.13x = 20,395.13 × 20,395.13
  4. Step 4: Simplify right side
    9,460.13x = 415,961,123.77
  5. Step 5: Solve for x
    x = 415,961,123.77/9,460.13
  6. Step 6: Final answer
    x = 43,969.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.