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Finding the Third Proportional to 1,653.06 and 3,565.62

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Solution

The third proportional to 1,653.06 and 3,565.62 is: 7,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.06 : 3,565.62 = 3,565.62 : x
  2. Step 2: Convert to fraction form
    1,653.06/3,565.62 = 3,565.62/x
  3. Step 3: Cross multiply
    1,653.06x = 3,565.62 × 3,565.62
  4. Step 4: Simplify right side
    1,653.06x = 12,713,657.27
  5. Step 5: Solve for x
    x = 12,713,657.27/1,653.06
  6. Step 6: Final answer
    x = 7,690.96

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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.