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Finding the Third Proportional to 1,700.25 and 3,572.63

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Solution

The third proportional to 1,700.25 and 3,572.63 is: 7,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.25 : 3,572.63 = 3,572.63 : x
  2. Step 2: Convert to fraction form
    1,700.25/3,572.63 = 3,572.63/x
  3. Step 3: Cross multiply
    1,700.25x = 3,572.63 × 3,572.63
  4. Step 4: Simplify right side
    1,700.25x = 12,763,649.39
  5. Step 5: Solve for x
    x = 12,763,649.39/1,700.25
  6. Step 6: Final answer
    x = 7,506.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.