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Finding the Third Proportional to 32,252.63 and 49,836.94

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Solution

The third proportional to 32,252.63 and 49,836.94 is: 77,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252.63 : 49,836.94 = 49,836.94 : x
  2. Step 2: Convert to fraction form
    32,252.63/49,836.94 = 49,836.94/x
  3. Step 3: Cross multiply
    32,252.63x = 49,836.94 × 49,836.94
  4. Step 4: Simplify right side
    32,252.63x = 2,483,720,339.38
  5. Step 5: Solve for x
    x = 2,483,720,339.38/32,252.63
  6. Step 6: Final answer
    x = 77,008.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.