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Finding the Third Proportional to 24,324 and 53,220

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Solution

The third proportional to 24,324 and 53,220 is: 116,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324 : 53,220 = 53,220 : x
  2. Step 2: Convert to fraction form
    24,324/53,220 = 53,220/x
  3. Step 3: Cross multiply
    24,324x = 53,220 × 53,220
  4. Step 4: Simplify right side
    24,324x = 2,832,368,400
  5. Step 5: Solve for x
    x = 2,832,368,400/24,324
  6. Step 6: Final answer
    x = 116,443.36

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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.