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Finding the Third Proportional to 32,106.38 and 49,410

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Solution

The third proportional to 32,106.38 and 49,410 is: 76,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.38 : 49,410 = 49,410 : x
  2. Step 2: Convert to fraction form
    32,106.38/49,410 = 49,410/x
  3. Step 3: Cross multiply
    32,106.38x = 49,410 × 49,410
  4. Step 4: Simplify right side
    32,106.38x = 2,441,348,100
  5. Step 5: Solve for x
    x = 2,441,348,100/32,106.38
  6. Step 6: Final answer
    x = 76,039.36

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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.