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Finding the Third Proportional to 24,632 and 53,236

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Solution

The third proportional to 24,632 and 53,236 is: 115,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632 : 53,236 = 53,236 : x
  2. Step 2: Convert to fraction form
    24,632/53,236 = 53,236/x
  3. Step 3: Cross multiply
    24,632x = 53,236 × 53,236
  4. Step 4: Simplify right side
    24,632x = 2,834,071,696
  5. Step 5: Solve for x
    x = 2,834,071,696/24,632
  6. Step 6: Final answer
    x = 115,056.50

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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.