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Finding the Third Proportional to 25,072 and 38,695

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Solution

The third proportional to 25,072 and 38,695 is: 59,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072 : 38,695 = 38,695 : x
  2. Step 2: Convert to fraction form
    25,072/38,695 = 38,695/x
  3. Step 3: Cross multiply
    25,072x = 38,695 × 38,695
  4. Step 4: Simplify right side
    25,072x = 1,497,303,025
  5. Step 5: Solve for x
    x = 1,497,303,025/25,072
  6. Step 6: Final answer
    x = 59,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.