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Finding the Third Proportional to 3,518 and 5,570.50

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Solution

The third proportional to 3,518 and 5,570.50 is: 8,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518 : 5,570.50 = 5,570.50 : x
  2. Step 2: Convert to fraction form
    3,518/5,570.50 = 5,570.50/x
  3. Step 3: Cross multiply
    3,518x = 5,570.50 × 5,570.50
  4. Step 4: Simplify right side
    3,518x = 31,030,470.25
  5. Step 5: Solve for x
    x = 31,030,470.25/3,518
  6. Step 6: Final answer
    x = 8,820.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.