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Finding the Third Proportional to 27,216 and 39,001.50

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Solution

The third proportional to 27,216 and 39,001.50 is: 55,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 39,001.50 = 39,001.50 : x
  2. Step 2: Convert to fraction form
    27,216/39,001.50 = 39,001.50/x
  3. Step 3: Cross multiply
    27,216x = 39,001.50 × 39,001.50
  4. Step 4: Simplify right side
    27,216x = 1,521,117,002.25
  5. Step 5: Solve for x
    x = 1,521,117,002.25/27,216
  6. Step 6: Final answer
    x = 55,890.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.