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Finding the Third Proportional to 7,057.75 and 10,598.75

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Solution

The third proportional to 7,057.75 and 10,598.75 is: 15,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.75 : 10,598.75 = 10,598.75 : x
  2. Step 2: Convert to fraction form
    7,057.75/10,598.75 = 10,598.75/x
  3. Step 3: Cross multiply
    7,057.75x = 10,598.75 × 10,598.75
  4. Step 4: Simplify right side
    7,057.75x = 112,333,501.56
  5. Step 5: Solve for x
    x = 112,333,501.56/7,057.75
  6. Step 6: Final answer
    x = 15,916.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.