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Finding the Third Proportional to 10,603.41 and 16,426.55

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Solution

The third proportional to 10,603.41 and 16,426.55 is: 25,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.41 : 16,426.55 = 16,426.55 : x
  2. Step 2: Convert to fraction form
    10,603.41/16,426.55 = 16,426.55/x
  3. Step 3: Cross multiply
    10,603.41x = 16,426.55 × 16,426.55
  4. Step 4: Simplify right side
    10,603.41x = 269,831,442.24
  5. Step 5: Solve for x
    x = 269,831,442.24/10,603.41
  6. Step 6: Final answer
    x = 25,447.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.