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Finding the Third Proportional to 7,442.16 and 15,907.85

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Solution

The third proportional to 7,442.16 and 15,907.85 is: 34,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.16 : 15,907.85 = 15,907.85 : x
  2. Step 2: Convert to fraction form
    7,442.16/15,907.85 = 15,907.85/x
  3. Step 3: Cross multiply
    7,442.16x = 15,907.85 × 15,907.85
  4. Step 4: Simplify right side
    7,442.16x = 253,059,741.33
  5. Step 5: Solve for x
    x = 253,059,741.33/7,442.16
  6. Step 6: Final answer
    x = 34,003.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.