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Finding the Third Proportional to 3,569.91 and 5,582.67

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Solution

The third proportional to 3,569.91 and 5,582.67 is: 8,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.91 : 5,582.67 = 5,582.67 : x
  2. Step 2: Convert to fraction form
    3,569.91/5,582.67 = 5,582.67/x
  3. Step 3: Cross multiply
    3,569.91x = 5,582.67 × 5,582.67
  4. Step 4: Simplify right side
    3,569.91x = 31,166,225.26
  5. Step 5: Solve for x
    x = 31,166,225.26/3,569.91
  6. Step 6: Final answer
    x = 8,730.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.