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Finding the Third Proportional to 5,763.66 and 9,128.64

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Solution

The third proportional to 5,763.66 and 9,128.64 is: 14,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.66 : 9,128.64 = 9,128.64 : x
  2. Step 2: Convert to fraction form
    5,763.66/9,128.64 = 9,128.64/x
  3. Step 3: Cross multiply
    5,763.66x = 9,128.64 × 9,128.64
  4. Step 4: Simplify right side
    5,763.66x = 83,332,008.34
  5. Step 5: Solve for x
    x = 83,332,008.34/5,763.66
  6. Step 6: Final answer
    x = 14,458.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.