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Finding the Third Proportional to 25,062 and 53,580

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Solution

The third proportional to 25,062 and 53,580 is: 114,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,062 : 53,580 = 53,580 : x
  2. Step 2: Convert to fraction form
    25,062/53,580 = 53,580/x
  3. Step 3: Cross multiply
    25,062x = 53,580 × 53,580
  4. Step 4: Simplify right side
    25,062x = 2,870,816,400
  5. Step 5: Solve for x
    x = 2,870,816,400/25,062
  6. Step 6: Final answer
    x = 114,548.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.