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Finding the Third Proportional to 19,266.50 and 41,813.50

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Solution

The third proportional to 19,266.50 and 41,813.50 is: 90,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,266.50 : 41,813.50 = 41,813.50 : x
  2. Step 2: Convert to fraction form
    19,266.50/41,813.50 = 41,813.50/x
  3. Step 3: Cross multiply
    19,266.50x = 41,813.50 × 41,813.50
  4. Step 4: Simplify right side
    19,266.50x = 1,748,368,782.25
  5. Step 5: Solve for x
    x = 1,748,368,782.25/19,266.50
  6. Step 6: Final answer
    x = 90,746.57

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Why These Related Problems?

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