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Finding the Third Proportional to 6,952 and 7,954.50

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Solution

The third proportional to 6,952 and 7,954.50 is: 9,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952 : 7,954.50 = 7,954.50 : x
  2. Step 2: Convert to fraction form
    6,952/7,954.50 = 7,954.50/x
  3. Step 3: Cross multiply
    6,952x = 7,954.50 × 7,954.50
  4. Step 4: Simplify right side
    6,952x = 63,274,070.25
  5. Step 5: Solve for x
    x = 63,274,070.25/6,952
  6. Step 6: Final answer
    x = 9,101.56

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.