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Finding the Third Proportional to 14,382 and 21,156.75

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Solution

The third proportional to 14,382 and 21,156.75 is: 31,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 21,156.75 = 21,156.75 : x
  2. Step 2: Convert to fraction form
    14,382/21,156.75 = 21,156.75/x
  3. Step 3: Cross multiply
    14,382x = 21,156.75 × 21,156.75
  4. Step 4: Simplify right side
    14,382x = 447,608,070.56
  5. Step 5: Solve for x
    x = 447,608,070.56/14,382
  6. Step 6: Final answer
    x = 31,122.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.