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Finding the Third Proportional to 32,994.75 and 53,123.63

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Solution

The third proportional to 32,994.75 and 53,123.63 is: 85,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.75 : 53,123.63 = 53,123.63 : x
  2. Step 2: Convert to fraction form
    32,994.75/53,123.63 = 53,123.63/x
  3. Step 3: Cross multiply
    32,994.75x = 53,123.63 × 53,123.63
  4. Step 4: Simplify right side
    32,994.75x = 2,822,119,533.14
  5. Step 5: Solve for x
    x = 2,822,119,533.14/32,994.75
  6. Step 6: Final answer
    x = 85,532.38

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.