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Finding the Third Proportional to 2,522.81 and 6,064.03

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Solution

The third proportional to 2,522.81 and 6,064.03 is: 14,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.81 : 6,064.03 = 6,064.03 : x
  2. Step 2: Convert to fraction form
    2,522.81/6,064.03 = 6,064.03/x
  3. Step 3: Cross multiply
    2,522.81x = 6,064.03 × 6,064.03
  4. Step 4: Simplify right side
    2,522.81x = 36,772,475.00
  5. Step 5: Solve for x
    x = 36,772,475.00/2,522.81
  6. Step 6: Final answer
    x = 14,575.98

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.