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Finding the Third Proportional to 24,178.50 and 37,827

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Solution

The third proportional to 24,178.50 and 37,827 is: 59,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.50 : 37,827 = 37,827 : x
  2. Step 2: Convert to fraction form
    24,178.50/37,827 = 37,827/x
  3. Step 3: Cross multiply
    24,178.50x = 37,827 × 37,827
  4. Step 4: Simplify right side
    24,178.50x = 1,430,881,929
  5. Step 5: Solve for x
    x = 1,430,881,929/24,178.50
  6. Step 6: Final answer
    x = 59,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.