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Finding the Third Proportional to 3,014.72 and 4,541.06

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Solution

The third proportional to 3,014.72 and 4,541.06 is: 6,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.72 : 4,541.06 = 4,541.06 : x
  2. Step 2: Convert to fraction form
    3,014.72/4,541.06 = 4,541.06/x
  3. Step 3: Cross multiply
    3,014.72x = 4,541.06 × 4,541.06
  4. Step 4: Simplify right side
    3,014.72x = 20,621,248.63
  5. Step 5: Solve for x
    x = 20,621,248.63/3,014.72
  6. Step 6: Final answer
    x = 6,840.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.