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Finding the Third Proportional to 24,927.75 and 37,518.19

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Solution

The third proportional to 24,927.75 and 37,518.19 is: 56,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.75 : 37,518.19 = 37,518.19 : x
  2. Step 2: Convert to fraction form
    24,927.75/37,518.19 = 37,518.19/x
  3. Step 3: Cross multiply
    24,927.75x = 37,518.19 × 37,518.19
  4. Step 4: Simplify right side
    24,927.75x = 1,407,614,393.29
  5. Step 5: Solve for x
    x = 1,407,614,393.29/24,927.75
  6. Step 6: Final answer
    x = 56,467.77

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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.