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Finding the Third Proportional to 7,570.13 and 15,447.19

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Solution

The third proportional to 7,570.13 and 15,447.19 is: 31,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.13 : 15,447.19 = 15,447.19 : x
  2. Step 2: Convert to fraction form
    7,570.13/15,447.19 = 15,447.19/x
  3. Step 3: Cross multiply
    7,570.13x = 15,447.19 × 15,447.19
  4. Step 4: Simplify right side
    7,570.13x = 238,615,601.66
  5. Step 5: Solve for x
    x = 238,615,601.66/7,570.13
  6. Step 6: Final answer
    x = 31,520.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.