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Finding the Third Proportional to 7,401 and 10,570.50

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Solution

The third proportional to 7,401 and 10,570.50 is: 15,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401 : 10,570.50 = 10,570.50 : x
  2. Step 2: Convert to fraction form
    7,401/10,570.50 = 10,570.50/x
  3. Step 3: Cross multiply
    7,401x = 10,570.50 × 10,570.50
  4. Step 4: Simplify right side
    7,401x = 111,735,470.25
  5. Step 5: Solve for x
    x = 111,735,470.25/7,401
  6. Step 6: Final answer
    x = 15,097.35

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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.