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Finding the Third Proportional to 7,582.78 and 16,263.28

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Solution

The third proportional to 7,582.78 and 16,263.28 is: 34,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.78 : 16,263.28 = 16,263.28 : x
  2. Step 2: Convert to fraction form
    7,582.78/16,263.28 = 16,263.28/x
  3. Step 3: Cross multiply
    7,582.78x = 16,263.28 × 16,263.28
  4. Step 4: Simplify right side
    7,582.78x = 264,494,317.02
  5. Step 5: Solve for x
    x = 264,494,317.02/7,582.78
  6. Step 6: Final answer
    x = 34,880.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.