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Finding the Third Proportional to 25,644 and 49,920

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Solution

The third proportional to 25,644 and 49,920 is: 97,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 49,920 = 49,920 : x
  2. Step 2: Convert to fraction form
    25,644/49,920 = 49,920/x
  3. Step 3: Cross multiply
    25,644x = 49,920 × 49,920
  4. Step 4: Simplify right side
    25,644x = 2,492,006,400
  5. Step 5: Solve for x
    x = 2,492,006,400/25,644
  6. Step 6: Final answer
    x = 97,176.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.