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Finding the Third Proportional to 12,340.50 and 26,322

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Solution

The third proportional to 12,340.50 and 26,322 is: 56,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.50 : 26,322 = 26,322 : x
  2. Step 2: Convert to fraction form
    12,340.50/26,322 = 26,322/x
  3. Step 3: Cross multiply
    12,340.50x = 26,322 × 26,322
  4. Step 4: Simplify right side
    12,340.50x = 692,847,684
  5. Step 5: Solve for x
    x = 692,847,684/12,340.50
  6. Step 6: Final answer
    x = 56,144.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.