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Finding the Third Proportional to 24,078.75 and 58,008

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Solution

The third proportional to 24,078.75 and 58,008 is: 139,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.75 : 58,008 = 58,008 : x
  2. Step 2: Convert to fraction form
    24,078.75/58,008 = 58,008/x
  3. Step 3: Cross multiply
    24,078.75x = 58,008 × 58,008
  4. Step 4: Simplify right side
    24,078.75x = 3,364,928,064
  5. Step 5: Solve for x
    x = 3,364,928,064/24,078.75
  6. Step 6: Final answer
    x = 139,746.79

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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.