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Finding the Third Proportional to 25,284 and 37,925.25

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Solution

The third proportional to 25,284 and 37,925.25 is: 56,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 37,925.25 = 37,925.25 : x
  2. Step 2: Convert to fraction form
    25,284/37,925.25 = 37,925.25/x
  3. Step 3: Cross multiply
    25,284x = 37,925.25 × 37,925.25
  4. Step 4: Simplify right side
    25,284x = 1,438,324,587.56
  5. Step 5: Solve for x
    x = 1,438,324,587.56/25,284
  6. Step 6: Final answer
    x = 56,886.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.