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Finding the Third Proportional to 41,424.75 and 64,802.53

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Solution

The third proportional to 41,424.75 and 64,802.53 is: 101,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424.75 : 64,802.53 = 64,802.53 : x
  2. Step 2: Convert to fraction form
    41,424.75/64,802.53 = 64,802.53/x
  3. Step 3: Cross multiply
    41,424.75x = 64,802.53 × 64,802.53
  4. Step 4: Simplify right side
    41,424.75x = 4,199,368,056.41
  5. Step 5: Solve for x
    x = 4,199,368,056.41/41,424.75
  6. Step 6: Final answer
    x = 101,373.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.