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Finding the Third Proportional to 2,985.61 and 6,442.03

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Solution

The third proportional to 2,985.61 and 6,442.03 is: 13,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.61 : 6,442.03 = 6,442.03 : x
  2. Step 2: Convert to fraction form
    2,985.61/6,442.03 = 6,442.03/x
  3. Step 3: Cross multiply
    2,985.61x = 6,442.03 × 6,442.03
  4. Step 4: Simplify right side
    2,985.61x = 41,499,766.63
  5. Step 5: Solve for x
    x = 41,499,766.63/2,985.61
  6. Step 6: Final answer
    x = 13,899.93

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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.