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Finding the Third Proportional to 1,701.42 and 4,234.99

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Solution

The third proportional to 1,701.42 and 4,234.99 is: 10,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.42 : 4,234.99 = 4,234.99 : x
  2. Step 2: Convert to fraction form
    1,701.42/4,234.99 = 4,234.99/x
  3. Step 3: Cross multiply
    1,701.42x = 4,234.99 × 4,234.99
  4. Step 4: Simplify right side
    1,701.42x = 17,935,158.83
  5. Step 5: Solve for x
    x = 17,935,158.83/1,701.42
  6. Step 6: Final answer
    x = 10,541.28

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.