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Finding the Third Proportional to 21,574 and 32,297

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Solution

The third proportional to 21,574 and 32,297 is: 48,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574 : 32,297 = 32,297 : x
  2. Step 2: Convert to fraction form
    21,574/32,297 = 32,297/x
  3. Step 3: Cross multiply
    21,574x = 32,297 × 32,297
  4. Step 4: Simplify right side
    21,574x = 1,043,096,209
  5. Step 5: Solve for x
    x = 1,043,096,209/21,574
  6. Step 6: Final answer
    x = 48,349.69

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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.