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Finding the Third Proportional to 5,505.47 and 8,026.59

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Solution

The third proportional to 5,505.47 and 8,026.59 is: 11,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.47 : 8,026.59 = 8,026.59 : x
  2. Step 2: Convert to fraction form
    5,505.47/8,026.59 = 8,026.59/x
  3. Step 3: Cross multiply
    5,505.47x = 8,026.59 × 8,026.59
  4. Step 4: Simplify right side
    5,505.47x = 64,426,207.23
  5. Step 5: Solve for x
    x = 64,426,207.23/5,505.47
  6. Step 6: Final answer
    x = 11,702.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.