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Finding the Third Proportional to 22,977 and 35,465

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Solution

The third proportional to 22,977 and 35,465 is: 54,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 35,465 = 35,465 : x
  2. Step 2: Convert to fraction form
    22,977/35,465 = 35,465/x
  3. Step 3: Cross multiply
    22,977x = 35,465 × 35,465
  4. Step 4: Simplify right side
    22,977x = 1,257,766,225
  5. Step 5: Solve for x
    x = 1,257,766,225/22,977
  6. Step 6: Final answer
    x = 54,740.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.