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Finding the Third Proportional to 5,845.88 and 9,070.38

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Solution

The third proportional to 5,845.88 and 9,070.38 is: 14,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.88 : 9,070.38 = 9,070.38 : x
  2. Step 2: Convert to fraction form
    5,845.88/9,070.38 = 9,070.38/x
  3. Step 3: Cross multiply
    5,845.88x = 9,070.38 × 9,070.38
  4. Step 4: Simplify right side
    5,845.88x = 82,271,702.64
  5. Step 5: Solve for x
    x = 82,271,702.64/5,845.88
  6. Step 6: Final answer
    x = 14,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.