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Finding the Third Proportional to 1,630.76 and 3,567.16

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Solution

The third proportional to 1,630.76 and 3,567.16 is: 7,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.76 : 3,567.16 = 3,567.16 : x
  2. Step 2: Convert to fraction form
    1,630.76/3,567.16 = 3,567.16/x
  3. Step 3: Cross multiply
    1,630.76x = 3,567.16 × 3,567.16
  4. Step 4: Simplify right side
    1,630.76x = 12,724,659.45
  5. Step 5: Solve for x
    x = 12,724,659.45/1,630.76
  6. Step 6: Final answer
    x = 7,802.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.