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Finding the Third Proportional to 27,596 and 59,992.50

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Solution

The third proportional to 27,596 and 59,992.50 is: 130,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596 : 59,992.50 = 59,992.50 : x
  2. Step 2: Convert to fraction form
    27,596/59,992.50 = 59,992.50/x
  3. Step 3: Cross multiply
    27,596x = 59,992.50 × 59,992.50
  4. Step 4: Simplify right side
    27,596x = 3,599,100,056.25
  5. Step 5: Solve for x
    x = 3,599,100,056.25/27,596
  6. Step 6: Final answer
    x = 130,421.08

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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.