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Finding the Third Proportional to 17,861.63 and 26,276.06

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Solution

The third proportional to 17,861.63 and 26,276.06 is: 38,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.63 : 26,276.06 = 26,276.06 : x
  2. Step 2: Convert to fraction form
    17,861.63/26,276.06 = 26,276.06/x
  3. Step 3: Cross multiply
    17,861.63x = 26,276.06 × 26,276.06
  4. Step 4: Simplify right side
    17,861.63x = 690,431,460.50
  5. Step 5: Solve for x
    x = 690,431,460.50/17,861.63
  6. Step 6: Final answer
    x = 38,654.46

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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.