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Finding the Third Proportional to 7,083.75 and 15,514.13

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Solution

The third proportional to 7,083.75 and 15,514.13 is: 33,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.75 : 15,514.13 = 15,514.13 : x
  2. Step 2: Convert to fraction form
    7,083.75/15,514.13 = 15,514.13/x
  3. Step 3: Cross multiply
    7,083.75x = 15,514.13 × 15,514.13
  4. Step 4: Simplify right side
    7,083.75x = 240,688,074.52
  5. Step 5: Solve for x
    x = 240,688,074.52/7,083.75
  6. Step 6: Final answer
    x = 33,977.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.