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Finding the Third Proportional to 24,716 and 53,318

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Solution

The third proportional to 24,716 and 53,318 is: 115,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716 : 53,318 = 53,318 : x
  2. Step 2: Convert to fraction form
    24,716/53,318 = 53,318/x
  3. Step 3: Cross multiply
    24,716x = 53,318 × 53,318
  4. Step 4: Simplify right side
    24,716x = 2,842,809,124
  5. Step 5: Solve for x
    x = 2,842,809,124/24,716
  6. Step 6: Final answer
    x = 115,018.98

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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.