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Finding the Third Proportional to 24,216 and 51,716

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Solution

The third proportional to 24,216 and 51,716 is: 110,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216 : 51,716 = 51,716 : x
  2. Step 2: Convert to fraction form
    24,216/51,716 = 51,716/x
  3. Step 3: Cross multiply
    24,216x = 51,716 × 51,716
  4. Step 4: Simplify right side
    24,216x = 2,674,544,656
  5. Step 5: Solve for x
    x = 2,674,544,656/24,216
  6. Step 6: Final answer
    x = 110,445.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.