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Finding the Third Proportional to 23,033 and 36,737

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Solution

The third proportional to 23,033 and 36,737 is: 58,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033 : 36,737 = 36,737 : x
  2. Step 2: Convert to fraction form
    23,033/36,737 = 36,737/x
  3. Step 3: Cross multiply
    23,033x = 36,737 × 36,737
  4. Step 4: Simplify right side
    23,033x = 1,349,607,169
  5. Step 5: Solve for x
    x = 1,349,607,169/23,033
  6. Step 6: Final answer
    x = 58,594.50

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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.