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Finding the Third Proportional to 6,496.93 and 13,301.40

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Solution

The third proportional to 6,496.93 and 13,301.40 is: 27,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.93 : 13,301.40 = 13,301.40 : x
  2. Step 2: Convert to fraction form
    6,496.93/13,301.40 = 13,301.40/x
  3. Step 3: Cross multiply
    6,496.93x = 13,301.40 × 13,301.40
  4. Step 4: Simplify right side
    6,496.93x = 176,927,304.31
  5. Step 5: Solve for x
    x = 176,927,304.31/6,496.93
  6. Step 6: Final answer
    x = 27,232.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.