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Finding the Third Proportional to 1,670.13 and 3,607.95

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Solution

The third proportional to 1,670.13 and 3,607.95 is: 7,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.13 : 3,607.95 = 3,607.95 : x
  2. Step 2: Convert to fraction form
    1,670.13/3,607.95 = 3,607.95/x
  3. Step 3: Cross multiply
    1,670.13x = 3,607.95 × 3,607.95
  4. Step 4: Simplify right side
    1,670.13x = 13,017,269.38
  5. Step 5: Solve for x
    x = 13,017,269.38/1,670.13
  6. Step 6: Final answer
    x = 7,794.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.