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Finding the Third Proportional to 25,489 and 59,970

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Solution

The third proportional to 25,489 and 59,970 is: 141,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489 : 59,970 = 59,970 : x
  2. Step 2: Convert to fraction form
    25,489/59,970 = 59,970/x
  3. Step 3: Cross multiply
    25,489x = 59,970 × 59,970
  4. Step 4: Simplify right side
    25,489x = 3,596,400,900
  5. Step 5: Solve for x
    x = 3,596,400,900/25,489
  6. Step 6: Final answer
    x = 141,096.19

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.