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Finding the Third Proportional to 4,692.52 and 10,265.91

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Solution

The third proportional to 4,692.52 and 10,265.91 is: 22,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.52 : 10,265.91 = 10,265.91 : x
  2. Step 2: Convert to fraction form
    4,692.52/10,265.91 = 10,265.91/x
  3. Step 3: Cross multiply
    4,692.52x = 10,265.91 × 10,265.91
  4. Step 4: Simplify right side
    4,692.52x = 105,388,831.13
  5. Step 5: Solve for x
    x = 105,388,831.13/4,692.52
  6. Step 6: Final answer
    x = 22,458.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.