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Finding the Third Proportional to 14,633.16 and 23,282.44

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Solution

The third proportional to 14,633.16 and 23,282.44 is: 37,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.16 : 23,282.44 = 23,282.44 : x
  2. Step 2: Convert to fraction form
    14,633.16/23,282.44 = 23,282.44/x
  3. Step 3: Cross multiply
    14,633.16x = 23,282.44 × 23,282.44
  4. Step 4: Simplify right side
    14,633.16x = 542,071,895.94
  5. Step 5: Solve for x
    x = 542,071,895.94/14,633.16
  6. Step 6: Final answer
    x = 37,044.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.