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Finding the Third Proportional to 15,459.75 and 27,193.50

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Solution

The third proportional to 15,459.75 and 27,193.50 is: 47,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459.75 : 27,193.50 = 27,193.50 : x
  2. Step 2: Convert to fraction form
    15,459.75/27,193.50 = 27,193.50/x
  3. Step 3: Cross multiply
    15,459.75x = 27,193.50 × 27,193.50
  4. Step 4: Simplify right side
    15,459.75x = 739,486,442.25
  5. Step 5: Solve for x
    x = 739,486,442.25/15,459.75
  6. Step 6: Final answer
    x = 47,833.01

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.