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Finding the Third Proportional to 5,130.84 and 6,933.09

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Solution

The third proportional to 5,130.84 and 6,933.09 is: 9,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.84 : 6,933.09 = 6,933.09 : x
  2. Step 2: Convert to fraction form
    5,130.84/6,933.09 = 6,933.09/x
  3. Step 3: Cross multiply
    5,130.84x = 6,933.09 × 6,933.09
  4. Step 4: Simplify right side
    5,130.84x = 48,067,788.95
  5. Step 5: Solve for x
    x = 48,067,788.95/5,130.84
  6. Step 6: Final answer
    x = 9,368.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.