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Finding the Third Proportional to 5,780.50 and 13,641

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Solution

The third proportional to 5,780.50 and 13,641 is: 32,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.50 : 13,641 = 13,641 : x
  2. Step 2: Convert to fraction form
    5,780.50/13,641 = 13,641/x
  3. Step 3: Cross multiply
    5,780.50x = 13,641 × 13,641
  4. Step 4: Simplify right side
    5,780.50x = 186,076,881
  5. Step 5: Solve for x
    x = 186,076,881/5,780.50
  6. Step 6: Final answer
    x = 32,190.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.