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Finding the Third Proportional to 4,657.50 and 10,029.75

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Solution

The third proportional to 4,657.50 and 10,029.75 is: 21,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 10,029.75 = 10,029.75 : x
  2. Step 2: Convert to fraction form
    4,657.50/10,029.75 = 10,029.75/x
  3. Step 3: Cross multiply
    4,657.50x = 10,029.75 × 10,029.75
  4. Step 4: Simplify right side
    4,657.50x = 100,595,885.06
  5. Step 5: Solve for x
    x = 100,595,885.06/4,657.50
  6. Step 6: Final answer
    x = 21,598.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.