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Finding the Third Proportional to 1,945.13 and 4,613.06

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Solution

The third proportional to 1,945.13 and 4,613.06 is: 10,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.13 : 4,613.06 = 4,613.06 : x
  2. Step 2: Convert to fraction form
    1,945.13/4,613.06 = 4,613.06/x
  3. Step 3: Cross multiply
    1,945.13x = 4,613.06 × 4,613.06
  4. Step 4: Simplify right side
    1,945.13x = 21,280,345.63
  5. Step 5: Solve for x
    x = 21,280,345.63/1,945.13
  6. Step 6: Final answer
    x = 10,940.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.