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Finding the Third Proportional to 30,610 and 47,265

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Solution

The third proportional to 30,610 and 47,265 is: 72,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610 : 47,265 = 47,265 : x
  2. Step 2: Convert to fraction form
    30,610/47,265 = 47,265/x
  3. Step 3: Cross multiply
    30,610x = 47,265 × 47,265
  4. Step 4: Simplify right side
    30,610x = 2,233,980,225
  5. Step 5: Solve for x
    x = 2,233,980,225/30,610
  6. Step 6: Final answer
    x = 72,982.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.