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Finding the Third Proportional to 5,970 and 13,053

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Solution

The third proportional to 5,970 and 13,053 is: 28,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 13,053 = 13,053 : x
  2. Step 2: Convert to fraction form
    5,970/13,053 = 13,053/x
  3. Step 3: Cross multiply
    5,970x = 13,053 × 13,053
  4. Step 4: Simplify right side
    5,970x = 170,380,809
  5. Step 5: Solve for x
    x = 170,380,809/5,970
  6. Step 6: Final answer
    x = 28,539.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.