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Finding the Third Proportional to 14,784.19 and 22,123.13

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Solution

The third proportional to 14,784.19 and 22,123.13 is: 33,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.19 : 22,123.13 = 22,123.13 : x
  2. Step 2: Convert to fraction form
    14,784.19/22,123.13 = 22,123.13/x
  3. Step 3: Cross multiply
    14,784.19x = 22,123.13 × 22,123.13
  4. Step 4: Simplify right side
    14,784.19x = 489,432,659.77
  5. Step 5: Solve for x
    x = 489,432,659.77/14,784.19
  6. Step 6: Final answer
    x = 33,105.14

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Why These Related Problems?

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