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Finding the Third Proportional to 3,435 and 5,294

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Solution

The third proportional to 3,435 and 5,294 is: 8,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 5,294 = 5,294 : x
  2. Step 2: Convert to fraction form
    3,435/5,294 = 5,294/x
  3. Step 3: Cross multiply
    3,435x = 5,294 × 5,294
  4. Step 4: Simplify right side
    3,435x = 28,026,436
  5. Step 5: Solve for x
    x = 28,026,436/3,435
  6. Step 6: Final answer
    x = 8,159.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.