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Finding the Third Proportional to 14,382 and 18,915.75

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Solution

The third proportional to 14,382 and 18,915.75 is: 24,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 18,915.75 = 18,915.75 : x
  2. Step 2: Convert to fraction form
    14,382/18,915.75 = 18,915.75/x
  3. Step 3: Cross multiply
    14,382x = 18,915.75 × 18,915.75
  4. Step 4: Simplify right side
    14,382x = 357,805,598.06
  5. Step 5: Solve for x
    x = 357,805,598.06/14,382
  6. Step 6: Final answer
    x = 24,878.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.