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Finding the Third Proportional to 2,935.41 and 4,541.06

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Solution

The third proportional to 2,935.41 and 4,541.06 is: 7,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.41 : 4,541.06 = 4,541.06 : x
  2. Step 2: Convert to fraction form
    2,935.41/4,541.06 = 4,541.06/x
  3. Step 3: Cross multiply
    2,935.41x = 4,541.06 × 4,541.06
  4. Step 4: Simplify right side
    2,935.41x = 20,621,248.63
  5. Step 5: Solve for x
    x = 20,621,248.63/2,935.41
  6. Step 6: Final answer
    x = 7,025.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.