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Finding the Third Proportional to 1,670.63 and 3,608.93

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Solution

The third proportional to 1,670.63 and 3,608.93 is: 7,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.63 : 3,608.93 = 3,608.93 : x
  2. Step 2: Convert to fraction form
    1,670.63/3,608.93 = 3,608.93/x
  3. Step 3: Cross multiply
    1,670.63x = 3,608.93 × 3,608.93
  4. Step 4: Simplify right side
    1,670.63x = 13,024,373.49
  5. Step 5: Solve for x
    x = 13,024,373.49/1,670.63
  6. Step 6: Final answer
    x = 7,796.11

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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.