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Finding the Third Proportional to 15,741 and 35,545.50

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Solution

The third proportional to 15,741 and 35,545.50 is: 80,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 35,545.50 = 35,545.50 : x
  2. Step 2: Convert to fraction form
    15,741/35,545.50 = 35,545.50/x
  3. Step 3: Cross multiply
    15,741x = 35,545.50 × 35,545.50
  4. Step 4: Simplify right side
    15,741x = 1,263,482,570.25
  5. Step 5: Solve for x
    x = 1,263,482,570.25/15,741
  6. Step 6: Final answer
    x = 80,266.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.