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Finding the Third Proportional to 24,985 and 52,758

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Solution

The third proportional to 24,985 and 52,758 is: 111,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,985 : 52,758 = 52,758 : x
  2. Step 2: Convert to fraction form
    24,985/52,758 = 52,758/x
  3. Step 3: Cross multiply
    24,985x = 52,758 × 52,758
  4. Step 4: Simplify right side
    24,985x = 2,783,406,564
  5. Step 5: Solve for x
    x = 2,783,406,564/24,985
  6. Step 6: Final answer
    x = 111,403.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.