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Finding the Third Proportional to 35,925.75 and 57,656.25

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Solution

The third proportional to 35,925.75 and 57,656.25 is: 92,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,925.75 : 57,656.25 = 57,656.25 : x
  2. Step 2: Convert to fraction form
    35,925.75/57,656.25 = 57,656.25/x
  3. Step 3: Cross multiply
    35,925.75x = 57,656.25 × 57,656.25
  4. Step 4: Simplify right side
    35,925.75x = 3,324,243,164.06
  5. Step 5: Solve for x
    x = 3,324,243,164.06/35,925.75
  6. Step 6: Final answer
    x = 92,530.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.