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Finding the Third Proportional to 8,941.64 and 13,138.45

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Solution

The third proportional to 8,941.64 and 13,138.45 is: 19,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.64 : 13,138.45 = 13,138.45 : x
  2. Step 2: Convert to fraction form
    8,941.64/13,138.45 = 13,138.45/x
  3. Step 3: Cross multiply
    8,941.64x = 13,138.45 × 13,138.45
  4. Step 4: Simplify right side
    8,941.64x = 172,618,950.52
  5. Step 5: Solve for x
    x = 172,618,950.52/8,941.64
  6. Step 6: Final answer
    x = 19,305.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.