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Finding the Third Proportional to 41,461.03 and 63,733.50

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Solution

The third proportional to 41,461.03 and 63,733.50 is: 97,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461.03 : 63,733.50 = 63,733.50 : x
  2. Step 2: Convert to fraction form
    41,461.03/63,733.50 = 63,733.50/x
  3. Step 3: Cross multiply
    41,461.03x = 63,733.50 × 63,733.50
  4. Step 4: Simplify right side
    41,461.03x = 4,061,959,022.25
  5. Step 5: Solve for x
    x = 4,061,959,022.25/41,461.03
  6. Step 6: Final answer
    x = 97,970.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.