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Finding the Third Proportional to 24,985 and 54,323

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Solution

The third proportional to 24,985 and 54,323 is: 118,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,985 : 54,323 = 54,323 : x
  2. Step 2: Convert to fraction form
    24,985/54,323 = 54,323/x
  3. Step 3: Cross multiply
    24,985x = 54,323 × 54,323
  4. Step 4: Simplify right side
    24,985x = 2,950,988,329
  5. Step 5: Solve for x
    x = 2,950,988,329/24,985
  6. Step 6: Final answer
    x = 118,110.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.