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Finding the Third Proportional to 10,548 and 22,660.50

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Solution

The third proportional to 10,548 and 22,660.50 is: 48,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548 : 22,660.50 = 22,660.50 : x
  2. Step 2: Convert to fraction form
    10,548/22,660.50 = 22,660.50/x
  3. Step 3: Cross multiply
    10,548x = 22,660.50 × 22,660.50
  4. Step 4: Simplify right side
    10,548x = 513,498,260.25
  5. Step 5: Solve for x
    x = 513,498,260.25/10,548
  6. Step 6: Final answer
    x = 48,682.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.