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Finding the Third Proportional to 13,095.26 and 20,065.06

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Solution

The third proportional to 13,095.26 and 20,065.06 is: 30,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.26 : 20,065.06 = 20,065.06 : x
  2. Step 2: Convert to fraction form
    13,095.26/20,065.06 = 20,065.06/x
  3. Step 3: Cross multiply
    13,095.26x = 20,065.06 × 20,065.06
  4. Step 4: Simplify right side
    13,095.26x = 402,606,654.75
  5. Step 5: Solve for x
    x = 402,606,654.75/13,095.26
  6. Step 6: Final answer
    x = 30,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.