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Finding the Third Proportional to 5,044.78 and 6,925.08

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Solution

The third proportional to 5,044.78 and 6,925.08 is: 9,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.78 : 6,925.08 = 6,925.08 : x
  2. Step 2: Convert to fraction form
    5,044.78/6,925.08 = 6,925.08/x
  3. Step 3: Cross multiply
    5,044.78x = 6,925.08 × 6,925.08
  4. Step 4: Simplify right side
    5,044.78x = 47,956,707.04
  5. Step 5: Solve for x
    x = 47,956,707.04/5,044.78
  6. Step 6: Final answer
    x = 9,506.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.