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Finding the Third Proportional to 24,798.66 and 37,046.11

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Solution

The third proportional to 24,798.66 and 37,046.11 is: 55,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.66 : 37,046.11 = 37,046.11 : x
  2. Step 2: Convert to fraction form
    24,798.66/37,046.11 = 37,046.11/x
  3. Step 3: Cross multiply
    24,798.66x = 37,046.11 × 37,046.11
  4. Step 4: Simplify right side
    24,798.66x = 1,372,414,219.82
  5. Step 5: Solve for x
    x = 1,372,414,219.82/24,798.66
  6. Step 6: Final answer
    x = 55,342.28

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Why These Related Problems?

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