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Finding the Third Proportional to 7,350.50 and 10,506.50

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Solution

The third proportional to 7,350.50 and 10,506.50 is: 15,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.50 : 10,506.50 = 10,506.50 : x
  2. Step 2: Convert to fraction form
    7,350.50/10,506.50 = 10,506.50/x
  3. Step 3: Cross multiply
    7,350.50x = 10,506.50 × 10,506.50
  4. Step 4: Simplify right side
    7,350.50x = 110,386,542.25
  5. Step 5: Solve for x
    x = 110,386,542.25/7,350.50
  6. Step 6: Final answer
    x = 15,017.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.