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Finding the Third Proportional to 24,216 and 37,028

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Solution

The third proportional to 24,216 and 37,028 is: 56,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216 : 37,028 = 37,028 : x
  2. Step 2: Convert to fraction form
    24,216/37,028 = 37,028/x
  3. Step 3: Cross multiply
    24,216x = 37,028 × 37,028
  4. Step 4: Simplify right side
    24,216x = 1,371,072,784
  5. Step 5: Solve for x
    x = 1,371,072,784/24,216
  6. Step 6: Final answer
    x = 56,618.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.