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Finding the Third Proportional to 38,184 and 81,840

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Solution

The third proportional to 38,184 and 81,840 is: 175,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 81,840 = 81,840 : x
  2. Step 2: Convert to fraction form
    38,184/81,840 = 81,840/x
  3. Step 3: Cross multiply
    38,184x = 81,840 × 81,840
  4. Step 4: Simplify right side
    38,184x = 6,697,785,600
  5. Step 5: Solve for x
    x = 6,697,785,600/38,184
  6. Step 6: Final answer
    x = 175,408.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.