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Finding the Third Proportional to 21,650 and 32,476

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Solution

The third proportional to 21,650 and 32,476 is: 48,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650 : 32,476 = 32,476 : x
  2. Step 2: Convert to fraction form
    21,650/32,476 = 32,476/x
  3. Step 3: Cross multiply
    21,650x = 32,476 × 32,476
  4. Step 4: Simplify right side
    21,650x = 1,054,690,576
  5. Step 5: Solve for x
    x = 1,054,690,576/21,650
  6. Step 6: Final answer
    x = 48,715.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.