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Finding the Third Proportional to 25,094 and 30,710

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Solution

The third proportional to 25,094 and 30,710 is: 37,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094 : 30,710 = 30,710 : x
  2. Step 2: Convert to fraction form
    25,094/30,710 = 30,710/x
  3. Step 3: Cross multiply
    25,094x = 30,710 × 30,710
  4. Step 4: Simplify right side
    25,094x = 943,104,100
  5. Step 5: Solve for x
    x = 943,104,100/25,094
  6. Step 6: Final answer
    x = 37,582.85

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.