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Finding the Third Proportional to 25,047 and 38,202

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Solution

The third proportional to 25,047 and 38,202 is: 58,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 38,202 = 38,202 : x
  2. Step 2: Convert to fraction form
    25,047/38,202 = 38,202/x
  3. Step 3: Cross multiply
    25,047x = 38,202 × 38,202
  4. Step 4: Simplify right side
    25,047x = 1,459,392,804
  5. Step 5: Solve for x
    x = 1,459,392,804/25,047
  6. Step 6: Final answer
    x = 58,266.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.