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Finding the Third Proportional to 14,331.75 and 22,145.63

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Solution

The third proportional to 14,331.75 and 22,145.63 is: 34,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.75 : 22,145.63 = 22,145.63 : x
  2. Step 2: Convert to fraction form
    14,331.75/22,145.63 = 22,145.63/x
  3. Step 3: Cross multiply
    14,331.75x = 22,145.63 × 22,145.63
  4. Step 4: Simplify right side
    14,331.75x = 490,428,706.64
  5. Step 5: Solve for x
    x = 490,428,706.64/14,331.75
  6. Step 6: Final answer
    x = 34,219.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.