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Finding the Third Proportional to 6,483.75 and 10,029.56

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Solution

The third proportional to 6,483.75 and 10,029.56 is: 15,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.75 : 10,029.56 = 10,029.56 : x
  2. Step 2: Convert to fraction form
    6,483.75/10,029.56 = 10,029.56/x
  3. Step 3: Cross multiply
    6,483.75x = 10,029.56 × 10,029.56
  4. Step 4: Simplify right side
    6,483.75x = 100,592,123.94
  5. Step 5: Solve for x
    x = 100,592,123.94/6,483.75
  6. Step 6: Final answer
    x = 15,514.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.