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Finding the Third Proportional to 25,908.50 and 56,748.50

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Solution

The third proportional to 25,908.50 and 56,748.50 is: 124,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,908.50 : 56,748.50 = 56,748.50 : x
  2. Step 2: Convert to fraction form
    25,908.50/56,748.50 = 56,748.50/x
  3. Step 3: Cross multiply
    25,908.50x = 56,748.50 × 56,748.50
  4. Step 4: Simplify right side
    25,908.50x = 3,220,392,252.25
  5. Step 5: Solve for x
    x = 3,220,392,252.25/25,908.50
  6. Step 6: Final answer
    x = 124,298.68

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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.