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Finding the Third Proportional to 5,955 and 7,048.50

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Solution

The third proportional to 5,955 and 7,048.50 is: 8,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955 : 7,048.50 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    5,955/7,048.50 = 7,048.50/x
  3. Step 3: Cross multiply
    5,955x = 7,048.50 × 7,048.50
  4. Step 4: Simplify right side
    5,955x = 49,681,352.25
  5. Step 5: Solve for x
    x = 49,681,352.25/5,955
  6. Step 6: Final answer
    x = 8,342.80

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.