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Finding the Third Proportional to 5,068.83 and 8,127.21

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Solution

The third proportional to 5,068.83 and 8,127.21 is: 13,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.83 : 8,127.21 = 8,127.21 : x
  2. Step 2: Convert to fraction form
    5,068.83/8,127.21 = 8,127.21/x
  3. Step 3: Cross multiply
    5,068.83x = 8,127.21 × 8,127.21
  4. Step 4: Simplify right side
    5,068.83x = 66,051,557.62
  5. Step 5: Solve for x
    x = 66,051,557.62/5,068.83
  6. Step 6: Final answer
    x = 13,030.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.