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Finding the Third Proportional to 24,538 and 52,964

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Solution

The third proportional to 24,538 and 52,964 is: 114,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 52,964 = 52,964 : x
  2. Step 2: Convert to fraction form
    24,538/52,964 = 52,964/x
  3. Step 3: Cross multiply
    24,538x = 52,964 × 52,964
  4. Step 4: Simplify right side
    24,538x = 2,805,185,296
  5. Step 5: Solve for x
    x = 2,805,185,296/24,538
  6. Step 6: Final answer
    x = 114,320.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.