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Finding the Third Proportional to 1,705.22 and 4,114.13

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Solution

The third proportional to 1,705.22 and 4,114.13 is: 9,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.22 : 4,114.13 = 4,114.13 : x
  2. Step 2: Convert to fraction form
    1,705.22/4,114.13 = 4,114.13/x
  3. Step 3: Cross multiply
    1,705.22x = 4,114.13 × 4,114.13
  4. Step 4: Simplify right side
    1,705.22x = 16,926,024.52
  5. Step 5: Solve for x
    x = 16,926,024.52/1,705.22
  6. Step 6: Final answer
    x = 9,926.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.