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Finding the Third Proportional to 5,690.25 and 9,095.63

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Solution

The third proportional to 5,690.25 and 9,095.63 is: 14,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.25 : 9,095.63 = 9,095.63 : x
  2. Step 2: Convert to fraction form
    5,690.25/9,095.63 = 9,095.63/x
  3. Step 3: Cross multiply
    5,690.25x = 9,095.63 × 9,095.63
  4. Step 4: Simplify right side
    5,690.25x = 82,730,394.14
  5. Step 5: Solve for x
    x = 82,730,394.14/5,690.25
  6. Step 6: Final answer
    x = 14,538.97

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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.