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Finding the Third Proportional to 23,103 and 36,727.50

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Solution

The third proportional to 23,103 and 36,727.50 is: 58,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103 : 36,727.50 = 36,727.50 : x
  2. Step 2: Convert to fraction form
    23,103/36,727.50 = 36,727.50/x
  3. Step 3: Cross multiply
    23,103x = 36,727.50 × 36,727.50
  4. Step 4: Simplify right side
    23,103x = 1,348,909,256.25
  5. Step 5: Solve for x
    x = 1,348,909,256.25/23,103
  6. Step 6: Final answer
    x = 58,386.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.