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Finding the Third Proportional to 25,883.63 and 56,613.75

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Solution

The third proportional to 25,883.63 and 56,613.75 is: 123,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.63 : 56,613.75 = 56,613.75 : x
  2. Step 2: Convert to fraction form
    25,883.63/56,613.75 = 56,613.75/x
  3. Step 3: Cross multiply
    25,883.63x = 56,613.75 × 56,613.75
  4. Step 4: Simplify right side
    25,883.63x = 3,205,116,689.06
  5. Step 5: Solve for x
    x = 3,205,116,689.06/25,883.63
  6. Step 6: Final answer
    x = 123,827.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.