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Finding the Third Proportional to 25,247 and 53,032

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Solution

The third proportional to 25,247 and 53,032 is: 111,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,247 : 53,032 = 53,032 : x
  2. Step 2: Convert to fraction form
    25,247/53,032 = 53,032/x
  3. Step 3: Cross multiply
    25,247x = 53,032 × 53,032
  4. Step 4: Simplify right side
    25,247x = 2,812,393,024
  5. Step 5: Solve for x
    x = 2,812,393,024/25,247
  6. Step 6: Final answer
    x = 111,395.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.