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Finding the Third Proportional to 6,951 and 10,054.50

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Solution

The third proportional to 6,951 and 10,054.50 is: 14,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951 : 10,054.50 = 10,054.50 : x
  2. Step 2: Convert to fraction form
    6,951/10,054.50 = 10,054.50/x
  3. Step 3: Cross multiply
    6,951x = 10,054.50 × 10,054.50
  4. Step 4: Simplify right side
    6,951x = 101,092,970.25
  5. Step 5: Solve for x
    x = 101,092,970.25/6,951
  6. Step 6: Final answer
    x = 14,543.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.