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Finding the Third Proportional to 25,489 and 59,971

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Solution

The third proportional to 25,489 and 59,971 is: 141,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489 : 59,971 = 59,971 : x
  2. Step 2: Convert to fraction form
    25,489/59,971 = 59,971/x
  3. Step 3: Cross multiply
    25,489x = 59,971 × 59,971
  4. Step 4: Simplify right side
    25,489x = 3,596,520,841
  5. Step 5: Solve for x
    x = 3,596,520,841/25,489
  6. Step 6: Final answer
    x = 141,100.90

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Why These Related Problems?

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