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Finding the Third Proportional to 23,140 and 51,472

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Solution

The third proportional to 23,140 and 51,472 is: 114,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140 : 51,472 = 51,472 : x
  2. Step 2: Convert to fraction form
    23,140/51,472 = 51,472/x
  3. Step 3: Cross multiply
    23,140x = 51,472 × 51,472
  4. Step 4: Simplify right side
    23,140x = 2,649,366,784
  5. Step 5: Solve for x
    x = 2,649,366,784/23,140
  6. Step 6: Final answer
    x = 114,492.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.