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Finding the Third Proportional to 17,411.25 and 26,549.63

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Solution

The third proportional to 17,411.25 and 26,549.63 is: 40,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.25 : 26,549.63 = 26,549.63 : x
  2. Step 2: Convert to fraction form
    17,411.25/26,549.63 = 26,549.63/x
  3. Step 3: Cross multiply
    17,411.25x = 26,549.63 × 26,549.63
  4. Step 4: Simplify right side
    17,411.25x = 704,882,587.64
  5. Step 5: Solve for x
    x = 704,882,587.64/17,411.25
  6. Step 6: Final answer
    x = 40,484.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.