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Finding the Third Proportional to 14,472.84 and 21,648.52

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Solution

The third proportional to 14,472.84 and 21,648.52 is: 32,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.84 : 21,648.52 = 21,648.52 : x
  2. Step 2: Convert to fraction form
    14,472.84/21,648.52 = 21,648.52/x
  3. Step 3: Cross multiply
    14,472.84x = 21,648.52 × 21,648.52
  4. Step 4: Simplify right side
    14,472.84x = 468,658,228.77
  5. Step 5: Solve for x
    x = 468,658,228.77/14,472.84
  6. Step 6: Final answer
    x = 32,381.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.