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Finding the Third Proportional to 30,347 and 62,152

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Solution

The third proportional to 30,347 and 62,152 is: 127,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347 : 62,152 = 62,152 : x
  2. Step 2: Convert to fraction form
    30,347/62,152 = 62,152/x
  3. Step 3: Cross multiply
    30,347x = 62,152 × 62,152
  4. Step 4: Simplify right side
    30,347x = 3,862,871,104
  5. Step 5: Solve for x
    x = 3,862,871,104/30,347
  6. Step 6: Final answer
    x = 127,290.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.