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Finding the Third Proportional to 32,306 and 49,920

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Solution

The third proportional to 32,306 and 49,920 is: 77,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306 : 49,920 = 49,920 : x
  2. Step 2: Convert to fraction form
    32,306/49,920 = 49,920/x
  3. Step 3: Cross multiply
    32,306x = 49,920 × 49,920
  4. Step 4: Simplify right side
    32,306x = 2,492,006,400
  5. Step 5: Solve for x
    x = 2,492,006,400/32,306
  6. Step 6: Final answer
    x = 77,137.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.