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Finding the Third Proportional to 22,985 and 36,878

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Solution

The third proportional to 22,985 and 36,878 is: 59,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985 : 36,878 = 36,878 : x
  2. Step 2: Convert to fraction form
    22,985/36,878 = 36,878/x
  3. Step 3: Cross multiply
    22,985x = 36,878 × 36,878
  4. Step 4: Simplify right side
    22,985x = 1,359,986,884
  5. Step 5: Solve for x
    x = 1,359,986,884/22,985
  6. Step 6: Final answer
    x = 59,168.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.