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Finding the Third Proportional to 7,488.70 and 16,306.31

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Solution

The third proportional to 7,488.70 and 16,306.31 is: 35,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.70 : 16,306.31 = 16,306.31 : x
  2. Step 2: Convert to fraction form
    7,488.70/16,306.31 = 16,306.31/x
  3. Step 3: Cross multiply
    7,488.70x = 16,306.31 × 16,306.31
  4. Step 4: Simplify right side
    7,488.70x = 265,895,827.35
  5. Step 5: Solve for x
    x = 265,895,827.35/7,488.70
  6. Step 6: Final answer
    x = 35,506.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.