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Finding the Third Proportional to 3,527.30 and 5,185.58

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Solution

The third proportional to 3,527.30 and 5,185.58 is: 7,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.30 : 5,185.58 = 5,185.58 : x
  2. Step 2: Convert to fraction form
    3,527.30/5,185.58 = 5,185.58/x
  3. Step 3: Cross multiply
    3,527.30x = 5,185.58 × 5,185.58
  4. Step 4: Simplify right side
    3,527.30x = 26,890,261.00
  5. Step 5: Solve for x
    x = 26,890,261.00/3,527.30
  6. Step 6: Final answer
    x = 7,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.