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Finding the Third Proportional to 29,248 and 39,984

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Solution

The third proportional to 29,248 and 39,984 is: 54,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248 : 39,984 = 39,984 : x
  2. Step 2: Convert to fraction form
    29,248/39,984 = 39,984/x
  3. Step 3: Cross multiply
    29,248x = 39,984 × 39,984
  4. Step 4: Simplify right side
    29,248x = 1,598,720,256
  5. Step 5: Solve for x
    x = 1,598,720,256/29,248
  6. Step 6: Final answer
    x = 54,660.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.