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Finding the Third Proportional to 7,590.16 and 15,764.18

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Solution

The third proportional to 7,590.16 and 15,764.18 is: 32,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.16 : 15,764.18 = 15,764.18 : x
  2. Step 2: Convert to fraction form
    7,590.16/15,764.18 = 15,764.18/x
  3. Step 3: Cross multiply
    7,590.16x = 15,764.18 × 15,764.18
  4. Step 4: Simplify right side
    7,590.16x = 248,509,372.77
  5. Step 5: Solve for x
    x = 248,509,372.77/7,590.16
  6. Step 6: Final answer
    x = 32,740.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.