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Finding the Third Proportional to 14,824.69 and 22,425.19

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Solution

The third proportional to 14,824.69 and 22,425.19 is: 33,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.69 : 22,425.19 = 22,425.19 : x
  2. Step 2: Convert to fraction form
    14,824.69/22,425.19 = 22,425.19/x
  3. Step 3: Cross multiply
    14,824.69x = 22,425.19 × 22,425.19
  4. Step 4: Simplify right side
    14,824.69x = 502,889,034.41
  5. Step 5: Solve for x
    x = 502,889,034.41/14,824.69
  6. Step 6: Final answer
    x = 33,922.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.