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Finding the Third Proportional to 25,586.50 and 56,114

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Solution

The third proportional to 25,586.50 and 56,114 is: 123,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.50 : 56,114 = 56,114 : x
  2. Step 2: Convert to fraction form
    25,586.50/56,114 = 56,114/x
  3. Step 3: Cross multiply
    25,586.50x = 56,114 × 56,114
  4. Step 4: Simplify right side
    25,586.50x = 3,148,780,996
  5. Step 5: Solve for x
    x = 3,148,780,996/25,586.50
  6. Step 6: Final answer
    x = 123,064.15

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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.