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Finding the Third Proportional to 27,324 and 59,184

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Solution

The third proportional to 27,324 and 59,184 is: 128,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 59,184 = 59,184 : x
  2. Step 2: Convert to fraction form
    27,324/59,184 = 59,184/x
  3. Step 3: Cross multiply
    27,324x = 59,184 × 59,184
  4. Step 4: Simplify right side
    27,324x = 3,502,745,856
  5. Step 5: Solve for x
    x = 3,502,745,856/27,324
  6. Step 6: Final answer
    x = 128,193.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.