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Finding the Third Proportional to 5,725.13 and 9,048.75

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Solution

The third proportional to 5,725.13 and 9,048.75 is: 14,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.13 : 9,048.75 = 9,048.75 : x
  2. Step 2: Convert to fraction form
    5,725.13/9,048.75 = 9,048.75/x
  3. Step 3: Cross multiply
    5,725.13x = 9,048.75 × 9,048.75
  4. Step 4: Simplify right side
    5,725.13x = 81,879,876.56
  5. Step 5: Solve for x
    x = 81,879,876.56/5,725.13
  6. Step 6: Final answer
    x = 14,301.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.