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Finding the Third Proportional to 27,400 and 59,316

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Solution

The third proportional to 27,400 and 59,316 is: 128,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400 : 59,316 = 59,316 : x
  2. Step 2: Convert to fraction form
    27,400/59,316 = 59,316/x
  3. Step 3: Cross multiply
    27,400x = 59,316 × 59,316
  4. Step 4: Simplify right side
    27,400x = 3,518,387,856
  5. Step 5: Solve for x
    x = 3,518,387,856/27,400
  6. Step 6: Final answer
    x = 128,408.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.