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Finding the Third Proportional to 15,338.11 and 32,530.36

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Solution

The third proportional to 15,338.11 and 32,530.36 is: 68,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.11 : 32,530.36 = 32,530.36 : x
  2. Step 2: Convert to fraction form
    15,338.11/32,530.36 = 32,530.36/x
  3. Step 3: Cross multiply
    15,338.11x = 32,530.36 × 32,530.36
  4. Step 4: Simplify right side
    15,338.11x = 1,058,224,281.07
  5. Step 5: Solve for x
    x = 1,058,224,281.07/15,338.11
  6. Step 6: Final answer
    x = 68,993.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.