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Finding the Third Proportional to 7,013.11 and 15,345.84

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Solution

The third proportional to 7,013.11 and 15,345.84 is: 33,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.11 : 15,345.84 = 15,345.84 : x
  2. Step 2: Convert to fraction form
    7,013.11/15,345.84 = 15,345.84/x
  3. Step 3: Cross multiply
    7,013.11x = 15,345.84 × 15,345.84
  4. Step 4: Simplify right side
    7,013.11x = 235,494,920.40
  5. Step 5: Solve for x
    x = 235,494,920.40/7,013.11
  6. Step 6: Final answer
    x = 33,579.25

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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.