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Finding the Third Proportional to 5,060.34 and 7,661.16

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Solution

The third proportional to 5,060.34 and 7,661.16 is: 11,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.34 : 7,661.16 = 7,661.16 : x
  2. Step 2: Convert to fraction form
    5,060.34/7,661.16 = 7,661.16/x
  3. Step 3: Cross multiply
    5,060.34x = 7,661.16 × 7,661.16
  4. Step 4: Simplify right side
    5,060.34x = 58,693,315.09
  5. Step 5: Solve for x
    x = 58,693,315.09/5,060.34
  6. Step 6: Final answer
    x = 11,598.68

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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.