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Finding the Third Proportional to 14,617.41 and 22,057.59

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Solution

The third proportional to 14,617.41 and 22,057.59 is: 33,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.41 : 22,057.59 = 22,057.59 : x
  2. Step 2: Convert to fraction form
    14,617.41/22,057.59 = 22,057.59/x
  3. Step 3: Cross multiply
    14,617.41x = 22,057.59 × 22,057.59
  4. Step 4: Simplify right side
    14,617.41x = 486,537,442.04
  5. Step 5: Solve for x
    x = 486,537,442.04/14,617.41
  6. Step 6: Final answer
    x = 33,284.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.