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Finding the Third Proportional to 24,432 and 53,236

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Solution

The third proportional to 24,432 and 53,236 is: 115,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432 : 53,236 = 53,236 : x
  2. Step 2: Convert to fraction form
    24,432/53,236 = 53,236/x
  3. Step 3: Cross multiply
    24,432x = 53,236 × 53,236
  4. Step 4: Simplify right side
    24,432x = 2,834,071,696
  5. Step 5: Solve for x
    x = 2,834,071,696/24,432
  6. Step 6: Final answer
    x = 115,998.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.