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Finding the Third Proportional to 2,875.50 and 3,152.25

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Solution

The third proportional to 2,875.50 and 3,152.25 is: 3,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.50 : 3,152.25 = 3,152.25 : x
  2. Step 2: Convert to fraction form
    2,875.50/3,152.25 = 3,152.25/x
  3. Step 3: Cross multiply
    2,875.50x = 3,152.25 × 3,152.25
  4. Step 4: Simplify right side
    2,875.50x = 9,936,680.06
  5. Step 5: Solve for x
    x = 9,936,680.06/2,875.50
  6. Step 6: Final answer
    x = 3,455.64

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.