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Finding the Third Proportional to 25,015 and 59,047

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Solution

The third proportional to 25,015 and 59,047 is: 139,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,015 : 59,047 = 59,047 : x
  2. Step 2: Convert to fraction form
    25,015/59,047 = 59,047/x
  3. Step 3: Cross multiply
    25,015x = 59,047 × 59,047
  4. Step 4: Simplify right side
    25,015x = 3,486,548,209
  5. Step 5: Solve for x
    x = 3,486,548,209/25,015
  6. Step 6: Final answer
    x = 139,378.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.