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Finding the Third Proportional to 29,583.35 and 40,417.26

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Solution

The third proportional to 29,583.35 and 40,417.26 is: 55,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583.35 : 40,417.26 = 40,417.26 : x
  2. Step 2: Convert to fraction form
    29,583.35/40,417.26 = 40,417.26/x
  3. Step 3: Cross multiply
    29,583.35x = 40,417.26 × 40,417.26
  4. Step 4: Simplify right side
    29,583.35x = 1,633,554,886.96
  5. Step 5: Solve for x
    x = 1,633,554,886.96/29,583.35
  6. Step 6: Final answer
    x = 55,218.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.