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Finding the Third Proportional to 7,970.27 and 17,451.07

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Solution

The third proportional to 7,970.27 and 17,451.07 is: 38,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.27 : 17,451.07 = 17,451.07 : x
  2. Step 2: Convert to fraction form
    7,970.27/17,451.07 = 17,451.07/x
  3. Step 3: Cross multiply
    7,970.27x = 17,451.07 × 17,451.07
  4. Step 4: Simplify right side
    7,970.27x = 304,539,855.05
  5. Step 5: Solve for x
    x = 304,539,855.05/7,970.27
  6. Step 6: Final answer
    x = 38,209.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.