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Finding the Third Proportional to 35,012.63 and 52,543.88

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Solution

The third proportional to 35,012.63 and 52,543.88 is: 78,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,012.63 : 52,543.88 = 52,543.88 : x
  2. Step 2: Convert to fraction form
    35,012.63/52,543.88 = 52,543.88/x
  3. Step 3: Cross multiply
    35,012.63x = 52,543.88 × 52,543.88
  4. Step 4: Simplify right side
    35,012.63x = 2,760,858,800.02
  5. Step 5: Solve for x
    x = 2,760,858,800.02/35,012.63
  6. Step 6: Final answer
    x = 78,853.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.