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Finding the Third Proportional to 30,175.88 and 65,391.47

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Solution

The third proportional to 30,175.88 and 65,391.47 is: 141,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.88 : 65,391.47 = 65,391.47 : x
  2. Step 2: Convert to fraction form
    30,175.88/65,391.47 = 65,391.47/x
  3. Step 3: Cross multiply
    30,175.88x = 65,391.47 × 65,391.47
  4. Step 4: Simplify right side
    30,175.88x = 4,276,044,185.28
  5. Step 5: Solve for x
    x = 4,276,044,185.28/30,175.88
  6. Step 6: Final answer
    x = 141,704.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.