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Finding the Third Proportional to 758.63 and 1,192.13

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Solution

The third proportional to 758.63 and 1,192.13 is: 1,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.63 : 1,192.13 = 1,192.13 : x
  2. Step 2: Convert to fraction form
    758.63/1,192.13 = 1,192.13/x
  3. Step 3: Cross multiply
    758.63x = 1,192.13 × 1,192.13
  4. Step 4: Simplify right side
    758.63x = 1,421,162.02
  5. Step 5: Solve for x
    x = 1,421,162.02/758.63
  6. Step 6: Final answer
    x = 1,873.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.