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Finding the Third Proportional to 32,334.19 and 49,946.63

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Solution

The third proportional to 32,334.19 and 49,946.63 is: 77,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334.19 : 49,946.63 = 49,946.63 : x
  2. Step 2: Convert to fraction form
    32,334.19/49,946.63 = 49,946.63/x
  3. Step 3: Cross multiply
    32,334.19x = 49,946.63 × 49,946.63
  4. Step 4: Simplify right side
    32,334.19x = 2,494,665,348.89
  5. Step 5: Solve for x
    x = 2,494,665,348.89/32,334.19
  6. Step 6: Final answer
    x = 77,152.56

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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.