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Finding the Third Proportional to 7,290.42 and 15,993.28

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Solution

The third proportional to 7,290.42 and 15,993.28 is: 35,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.42 : 15,993.28 = 15,993.28 : x
  2. Step 2: Convert to fraction form
    7,290.42/15,993.28 = 15,993.28/x
  3. Step 3: Cross multiply
    7,290.42x = 15,993.28 × 15,993.28
  4. Step 4: Simplify right side
    7,290.42x = 255,785,045.14
  5. Step 5: Solve for x
    x = 255,785,045.14/7,290.42
  6. Step 6: Final answer
    x = 35,085.08

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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.