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Finding the Third Proportional to 940.26 and 1,461.65

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Solution

The third proportional to 940.26 and 1,461.65 is: 2,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.26 : 1,461.65 = 1,461.65 : x
  2. Step 2: Convert to fraction form
    940.26/1,461.65 = 1,461.65/x
  3. Step 3: Cross multiply
    940.26x = 1,461.65 × 1,461.65
  4. Step 4: Simplify right side
    940.26x = 2,136,416.51
  5. Step 5: Solve for x
    x = 2,136,416.51/940.26
  6. Step 6: Final answer
    x = 2,272.15

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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.