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Finding the Third Proportional to 5,276.50 and 7,955.50

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Solution

The third proportional to 5,276.50 and 7,955.50 is: 11,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.50 : 7,955.50 = 7,955.50 : x
  2. Step 2: Convert to fraction form
    5,276.50/7,955.50 = 7,955.50/x
  3. Step 3: Cross multiply
    5,276.50x = 7,955.50 × 7,955.50
  4. Step 4: Simplify right side
    5,276.50x = 63,289,980.25
  5. Step 5: Solve for x
    x = 63,289,980.25/5,276.50
  6. Step 6: Final answer
    x = 11,994.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.