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Finding the Third Proportional to 2,070.50 and 3,125.75

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Solution

The third proportional to 2,070.50 and 3,125.75 is: 4,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.50 : 3,125.75 = 3,125.75 : x
  2. Step 2: Convert to fraction form
    2,070.50/3,125.75 = 3,125.75/x
  3. Step 3: Cross multiply
    2,070.50x = 3,125.75 × 3,125.75
  4. Step 4: Simplify right side
    2,070.50x = 9,770,313.06
  5. Step 5: Solve for x
    x = 9,770,313.06/2,070.50
  6. Step 6: Final answer
    x = 4,718.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.