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Finding the Third Proportional to 3,048 and 4,130.50

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Solution

The third proportional to 3,048 and 4,130.50 is: 5,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048 : 4,130.50 = 4,130.50 : x
  2. Step 2: Convert to fraction form
    3,048/4,130.50 = 4,130.50/x
  3. Step 3: Cross multiply
    3,048x = 4,130.50 × 4,130.50
  4. Step 4: Simplify right side
    3,048x = 17,061,030.25
  5. Step 5: Solve for x
    x = 17,061,030.25/3,048
  6. Step 6: Final answer
    x = 5,597.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.