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Finding the Third Proportional to 14,338.69 and 21,432.94

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Solution

The third proportional to 14,338.69 and 21,432.94 is: 32,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.69 : 21,432.94 = 21,432.94 : x
  2. Step 2: Convert to fraction form
    14,338.69/21,432.94 = 21,432.94/x
  3. Step 3: Cross multiply
    14,338.69x = 21,432.94 × 21,432.94
  4. Step 4: Simplify right side
    14,338.69x = 459,370,809.88
  5. Step 5: Solve for x
    x = 459,370,809.88/14,338.69
  6. Step 6: Final answer
    x = 32,037.16

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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.