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Finding the Third Proportional to 29,428 and 57,380

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Solution

The third proportional to 29,428 and 57,380 is: 111,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428 : 57,380 = 57,380 : x
  2. Step 2: Convert to fraction form
    29,428/57,380 = 57,380/x
  3. Step 3: Cross multiply
    29,428x = 57,380 × 57,380
  4. Step 4: Simplify right side
    29,428x = 3,292,464,400
  5. Step 5: Solve for x
    x = 3,292,464,400/29,428
  6. Step 6: Final answer
    x = 111,882.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.