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Finding the Third Proportional to 32,994 and 53,124.75

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Solution

The third proportional to 32,994 and 53,124.75 is: 85,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994 : 53,124.75 = 53,124.75 : x
  2. Step 2: Convert to fraction form
    32,994/53,124.75 = 53,124.75/x
  3. Step 3: Cross multiply
    32,994x = 53,124.75 × 53,124.75
  4. Step 4: Simplify right side
    32,994x = 2,822,239,062.56
  5. Step 5: Solve for x
    x = 2,822,239,062.56/32,994
  6. Step 6: Final answer
    x = 85,537.95

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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.