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Finding the Third Proportional to 6,973.50 and 9,754.13

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Solution

The third proportional to 6,973.50 and 9,754.13 is: 13,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.50 : 9,754.13 = 9,754.13 : x
  2. Step 2: Convert to fraction form
    6,973.50/9,754.13 = 9,754.13/x
  3. Step 3: Cross multiply
    6,973.50x = 9,754.13 × 9,754.13
  4. Step 4: Simplify right side
    6,973.50x = 95,142,954.52
  5. Step 5: Solve for x
    x = 95,142,954.52/6,973.50
  6. Step 6: Final answer
    x = 13,643.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.