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Finding the Third Proportional to 14,883.75 and 22,123.13

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Solution

The third proportional to 14,883.75 and 22,123.13 is: 32,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,883.75 : 22,123.13 = 22,123.13 : x
  2. Step 2: Convert to fraction form
    14,883.75/22,123.13 = 22,123.13/x
  3. Step 3: Cross multiply
    14,883.75x = 22,123.13 × 22,123.13
  4. Step 4: Simplify right side
    14,883.75x = 489,432,659.77
  5. Step 5: Solve for x
    x = 489,432,659.77/14,883.75
  6. Step 6: Final answer
    x = 32,883.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.