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Finding the Third Proportional to 15,605.63 and 22,824.38

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Solution

The third proportional to 15,605.63 and 22,824.38 is: 33,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.63 : 22,824.38 = 22,824.38 : x
  2. Step 2: Convert to fraction form
    15,605.63/22,824.38 = 22,824.38/x
  3. Step 3: Cross multiply
    15,605.63x = 22,824.38 × 22,824.38
  4. Step 4: Simplify right side
    15,605.63x = 520,952,094.14
  5. Step 5: Solve for x
    x = 520,952,094.14/15,605.63
  6. Step 6: Final answer
    x = 33,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.