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Finding the Third Proportional to 15,580 and 25,062

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Solution

The third proportional to 15,580 and 25,062 is: 40,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 25,062 = 25,062 : x
  2. Step 2: Convert to fraction form
    15,580/25,062 = 25,062/x
  3. Step 3: Cross multiply
    15,580x = 25,062 × 25,062
  4. Step 4: Simplify right side
    15,580x = 628,103,844
  5. Step 5: Solve for x
    x = 628,103,844/15,580
  6. Step 6: Final answer
    x = 40,314.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.