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Finding the Third Proportional to 5,329.88 and 8,342.63

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Solution

The third proportional to 5,329.88 and 8,342.63 is: 13,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.88 : 8,342.63 = 8,342.63 : x
  2. Step 2: Convert to fraction form
    5,329.88/8,342.63 = 8,342.63/x
  3. Step 3: Cross multiply
    5,329.88x = 8,342.63 × 8,342.63
  4. Step 4: Simplify right side
    5,329.88x = 69,599,391.89
  5. Step 5: Solve for x
    x = 69,599,391.89/5,329.88
  6. Step 6: Final answer
    x = 13,058.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.