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Finding the Third Proportional to 26,213.63 and 28,643.63

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Solution

The third proportional to 26,213.63 and 28,643.63 is: 31,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,213.63 : 28,643.63 = 28,643.63 : x
  2. Step 2: Convert to fraction form
    26,213.63/28,643.63 = 28,643.63/x
  3. Step 3: Cross multiply
    26,213.63x = 28,643.63 × 28,643.63
  4. Step 4: Simplify right side
    26,213.63x = 820,457,253.14
  5. Step 5: Solve for x
    x = 820,457,253.14/26,213.63
  6. Step 6: Final answer
    x = 31,298.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.