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Finding the Third Proportional to 21,492 and 32,370

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Solution

The third proportional to 21,492 and 32,370 is: 48,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492 : 32,370 = 32,370 : x
  2. Step 2: Convert to fraction form
    21,492/32,370 = 32,370/x
  3. Step 3: Cross multiply
    21,492x = 32,370 × 32,370
  4. Step 4: Simplify right side
    21,492x = 1,047,816,900
  5. Step 5: Solve for x
    x = 1,047,816,900/21,492
  6. Step 6: Final answer
    x = 48,753.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.