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Finding the Third Proportional to 27,830 and 59,710

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Solution

The third proportional to 27,830 and 59,710 is: 128,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830 : 59,710 = 59,710 : x
  2. Step 2: Convert to fraction form
    27,830/59,710 = 59,710/x
  3. Step 3: Cross multiply
    27,830x = 59,710 × 59,710
  4. Step 4: Simplify right side
    27,830x = 3,565,284,100
  5. Step 5: Solve for x
    x = 3,565,284,100/27,830
  6. Step 6: Final answer
    x = 128,109.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.