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Finding the Third Proportional to 24,364 and 53,240

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Solution

The third proportional to 24,364 and 53,240 is: 116,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 53,240 = 53,240 : x
  2. Step 2: Convert to fraction form
    24,364/53,240 = 53,240/x
  3. Step 3: Cross multiply
    24,364x = 53,240 × 53,240
  4. Step 4: Simplify right side
    24,364x = 2,834,497,600
  5. Step 5: Solve for x
    x = 2,834,497,600/24,364
  6. Step 6: Final answer
    x = 116,339.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.