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Finding the Third Proportional to 24,091 and 58,028

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Solution

The third proportional to 24,091 and 58,028 is: 139,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,091 : 58,028 = 58,028 : x
  2. Step 2: Convert to fraction form
    24,091/58,028 = 58,028/x
  3. Step 3: Cross multiply
    24,091x = 58,028 × 58,028
  4. Step 4: Simplify right side
    24,091x = 3,367,248,784
  5. Step 5: Solve for x
    x = 3,367,248,784/24,091
  6. Step 6: Final answer
    x = 139,772.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.