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Finding the Third Proportional to 7,014.19 and 15,001.22

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Solution

The third proportional to 7,014.19 and 15,001.22 is: 32,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.19 : 15,001.22 = 15,001.22 : x
  2. Step 2: Convert to fraction form
    7,014.19/15,001.22 = 15,001.22/x
  3. Step 3: Cross multiply
    7,014.19x = 15,001.22 × 15,001.22
  4. Step 4: Simplify right side
    7,014.19x = 225,036,563.99
  5. Step 5: Solve for x
    x = 225,036,563.99/7,014.19
  6. Step 6: Final answer
    x = 32,083.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.