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Finding the Third Proportional to 5,145.19 and 7,009.03

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Solution

The third proportional to 5,145.19 and 7,009.03 is: 9,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.19 : 7,009.03 = 7,009.03 : x
  2. Step 2: Convert to fraction form
    5,145.19/7,009.03 = 7,009.03/x
  3. Step 3: Cross multiply
    5,145.19x = 7,009.03 × 7,009.03
  4. Step 4: Simplify right side
    5,145.19x = 49,126,519.06
  5. Step 5: Solve for x
    x = 49,126,519.06/5,145.19
  6. Step 6: Final answer
    x = 9,548.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.