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Finding the Third Proportional to 39,520 and 93,289

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Solution

The third proportional to 39,520 and 93,289 is: 220,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,520 : 93,289 = 93,289 : x
  2. Step 2: Convert to fraction form
    39,520/93,289 = 93,289/x
  3. Step 3: Cross multiply
    39,520x = 93,289 × 93,289
  4. Step 4: Simplify right side
    39,520x = 8,702,837,521
  5. Step 5: Solve for x
    x = 8,702,837,521/39,520
  6. Step 6: Final answer
    x = 220,213.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.