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Finding the Third Proportional to 25,953.75 and 56,753.25

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Solution

The third proportional to 25,953.75 and 56,753.25 is: 124,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953.75 : 56,753.25 = 56,753.25 : x
  2. Step 2: Convert to fraction form
    25,953.75/56,753.25 = 56,753.25/x
  3. Step 3: Cross multiply
    25,953.75x = 56,753.25 × 56,753.25
  4. Step 4: Simplify right side
    25,953.75x = 3,220,931,385.56
  5. Step 5: Solve for x
    x = 3,220,931,385.56/25,953.75
  6. Step 6: Final answer
    x = 124,102.74

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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.