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Finding the Third Proportional to 1,562.41 and 3,398.20

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Solution

The third proportional to 1,562.41 and 3,398.20 is: 7,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.41 : 3,398.20 = 3,398.20 : x
  2. Step 2: Convert to fraction form
    1,562.41/3,398.20 = 3,398.20/x
  3. Step 3: Cross multiply
    1,562.41x = 3,398.20 × 3,398.20
  4. Step 4: Simplify right side
    1,562.41x = 11,547,784.48
  5. Step 5: Solve for x
    x = 11,547,784.48/1,562.41
  6. Step 6: Final answer
    x = 7,390.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.