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Finding the Third Proportional to 5,346 and 8,029.13

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Solution

The third proportional to 5,346 and 8,029.13 is: 12,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 8,029.13 = 8,029.13 : x
  2. Step 2: Convert to fraction form
    5,346/8,029.13 = 8,029.13/x
  3. Step 3: Cross multiply
    5,346x = 8,029.13 × 8,029.13
  4. Step 4: Simplify right side
    5,346x = 64,466,848.27
  5. Step 5: Solve for x
    x = 64,466,848.27/5,346
  6. Step 6: Final answer
    x = 12,058.89

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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.