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Finding the Third Proportional to 41,445 and 64,003.50

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Solution

The third proportional to 41,445 and 64,003.50 is: 98,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,445 : 64,003.50 = 64,003.50 : x
  2. Step 2: Convert to fraction form
    41,445/64,003.50 = 64,003.50/x
  3. Step 3: Cross multiply
    41,445x = 64,003.50 × 64,003.50
  4. Step 4: Simplify right side
    41,445x = 4,096,448,012.25
  5. Step 5: Solve for x
    x = 4,096,448,012.25/41,445
  6. Step 6: Final answer
    x = 98,840.58

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