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Finding the Third Proportional to 5,641 and 13,001.50

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Solution

The third proportional to 5,641 and 13,001.50 is: 29,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641 : 13,001.50 = 13,001.50 : x
  2. Step 2: Convert to fraction form
    5,641/13,001.50 = 13,001.50/x
  3. Step 3: Cross multiply
    5,641x = 13,001.50 × 13,001.50
  4. Step 4: Simplify right side
    5,641x = 169,039,002.25
  5. Step 5: Solve for x
    x = 169,039,002.25/5,641
  6. Step 6: Final answer
    x = 29,966.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.