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Finding the Third Proportional to 7,009.03 and 15,407.72

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Solution

The third proportional to 7,009.03 and 15,407.72 is: 33,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.03 : 15,407.72 = 15,407.72 : x
  2. Step 2: Convert to fraction form
    7,009.03/15,407.72 = 15,407.72/x
  3. Step 3: Cross multiply
    7,009.03x = 15,407.72 × 15,407.72
  4. Step 4: Simplify right side
    7,009.03x = 237,397,797.08
  5. Step 5: Solve for x
    x = 237,397,797.08/7,009.03
  6. Step 6: Final answer
    x = 33,870.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.