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Finding the Third Proportional to 6,973.50 and 12,295.50

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Solution

The third proportional to 6,973.50 and 12,295.50 is: 21,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.50 : 12,295.50 = 12,295.50 : x
  2. Step 2: Convert to fraction form
    6,973.50/12,295.50 = 12,295.50/x
  3. Step 3: Cross multiply
    6,973.50x = 12,295.50 × 12,295.50
  4. Step 4: Simplify right side
    6,973.50x = 151,179,320.25
  5. Step 5: Solve for x
    x = 151,179,320.25/6,973.50
  6. Step 6: Final answer
    x = 21,679.12

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.