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Finding the Third Proportional to 5,277.19 and 8,356.13

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Solution

The third proportional to 5,277.19 and 8,356.13 is: 13,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.19 : 8,356.13 = 8,356.13 : x
  2. Step 2: Convert to fraction form
    5,277.19/8,356.13 = 8,356.13/x
  3. Step 3: Cross multiply
    5,277.19x = 8,356.13 × 8,356.13
  4. Step 4: Simplify right side
    5,277.19x = 69,824,825.02
  5. Step 5: Solve for x
    x = 69,824,825.02/5,277.19
  6. Step 6: Final answer
    x = 13,231.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.