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Finding the Third Proportional to 14,502.48 and 23,076.14

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Solution

The third proportional to 14,502.48 and 23,076.14 is: 36,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.48 : 23,076.14 = 23,076.14 : x
  2. Step 2: Convert to fraction form
    14,502.48/23,076.14 = 23,076.14/x
  3. Step 3: Cross multiply
    14,502.48x = 23,076.14 × 23,076.14
  4. Step 4: Simplify right side
    14,502.48x = 532,508,266.14
  5. Step 5: Solve for x
    x = 532,508,266.14/14,502.48
  6. Step 6: Final answer
    x = 36,718.43

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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.