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Finding the Third Proportional to 7,033.71 and 15,039.42

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Solution

The third proportional to 7,033.71 and 15,039.42 is: 32,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.71 : 15,039.42 = 15,039.42 : x
  2. Step 2: Convert to fraction form
    7,033.71/15,039.42 = 15,039.42/x
  3. Step 3: Cross multiply
    7,033.71x = 15,039.42 × 15,039.42
  4. Step 4: Simplify right side
    7,033.71x = 226,184,210.33
  5. Step 5: Solve for x
    x = 226,184,210.33/7,033.71
  6. Step 6: Final answer
    x = 32,157.17

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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.