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Finding the Third Proportional to 27,421.50 and 59,757

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Solution

The third proportional to 27,421.50 and 59,757 is: 130,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.50 : 59,757 = 59,757 : x
  2. Step 2: Convert to fraction form
    27,421.50/59,757 = 59,757/x
  3. Step 3: Cross multiply
    27,421.50x = 59,757 × 59,757
  4. Step 4: Simplify right side
    27,421.50x = 3,570,899,049
  5. Step 5: Solve for x
    x = 3,570,899,049/27,421.50
  6. Step 6: Final answer
    x = 130,222.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.