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Finding the Third Proportional to 5,712 and 13,830

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Solution

The third proportional to 5,712 and 13,830 is: 33,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 13,830 = 13,830 : x
  2. Step 2: Convert to fraction form
    5,712/13,830 = 13,830/x
  3. Step 3: Cross multiply
    5,712x = 13,830 × 13,830
  4. Step 4: Simplify right side
    5,712x = 191,268,900
  5. Step 5: Solve for x
    x = 191,268,900/5,712
  6. Step 6: Final answer
    x = 33,485.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.