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Finding the Third Proportional to 24,386 and 53,236

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Solution

The third proportional to 24,386 and 53,236 is: 116,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386 : 53,236 = 53,236 : x
  2. Step 2: Convert to fraction form
    24,386/53,236 = 53,236/x
  3. Step 3: Cross multiply
    24,386x = 53,236 × 53,236
  4. Step 4: Simplify right side
    24,386x = 2,834,071,696
  5. Step 5: Solve for x
    x = 2,834,071,696/24,386
  6. Step 6: Final answer
    x = 116,217.16

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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.