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Finding the Third Proportional to 23,748 and 36,820

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Solution

The third proportional to 23,748 and 36,820 is: 57,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 36,820 = 36,820 : x
  2. Step 2: Convert to fraction form
    23,748/36,820 = 36,820/x
  3. Step 3: Cross multiply
    23,748x = 36,820 × 36,820
  4. Step 4: Simplify right side
    23,748x = 1,355,712,400
  5. Step 5: Solve for x
    x = 1,355,712,400/23,748
  6. Step 6: Final answer
    x = 57,087.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.