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Finding the Third Proportional to 6,254.93 and 11,587.01

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Solution

The third proportional to 6,254.93 and 11,587.01 is: 21,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.93 : 11,587.01 = 11,587.01 : x
  2. Step 2: Convert to fraction form
    6,254.93/11,587.01 = 11,587.01/x
  3. Step 3: Cross multiply
    6,254.93x = 11,587.01 × 11,587.01
  4. Step 4: Simplify right side
    6,254.93x = 134,258,750.05
  5. Step 5: Solve for x
    x = 134,258,750.05/6,254.93
  6. Step 6: Final answer
    x = 21,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.