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Finding the Third Proportional to 6,261.75 and 9,985.13

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Solution

The third proportional to 6,261.75 and 9,985.13 is: 15,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.75 : 9,985.13 = 9,985.13 : x
  2. Step 2: Convert to fraction form
    6,261.75/9,985.13 = 9,985.13/x
  3. Step 3: Cross multiply
    6,261.75x = 9,985.13 × 9,985.13
  4. Step 4: Simplify right side
    6,261.75x = 99,702,721.27
  5. Step 5: Solve for x
    x = 99,702,721.27/6,261.75
  6. Step 6: Final answer
    x = 15,922.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.