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Finding the Third Proportional to 5,783.06 and 12,702.66

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Solution

The third proportional to 5,783.06 and 12,702.66 is: 27,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.06 : 12,702.66 = 12,702.66 : x
  2. Step 2: Convert to fraction form
    5,783.06/12,702.66 = 12,702.66/x
  3. Step 3: Cross multiply
    5,783.06x = 12,702.66 × 12,702.66
  4. Step 4: Simplify right side
    5,783.06x = 161,357,475.81
  5. Step 5: Solve for x
    x = 161,357,475.81/5,783.06
  6. Step 6: Final answer
    x = 27,901.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.