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Finding the Third Proportional to 7,009.51 and 15,441.42

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Solution

The third proportional to 7,009.51 and 15,441.42 is: 34,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.51 : 15,441.42 = 15,441.42 : x
  2. Step 2: Convert to fraction form
    7,009.51/15,441.42 = 15,441.42/x
  3. Step 3: Cross multiply
    7,009.51x = 15,441.42 × 15,441.42
  4. Step 4: Simplify right side
    7,009.51x = 238,437,328.57
  5. Step 5: Solve for x
    x = 238,437,328.57/7,009.51
  6. Step 6: Final answer
    x = 34,016.28

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Why These Related Problems?

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