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Finding the Third Proportional to 32,034.38 and 46,815.75

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Solution

The third proportional to 32,034.38 and 46,815.75 is: 68,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.38 : 46,815.75 = 46,815.75 : x
  2. Step 2: Convert to fraction form
    32,034.38/46,815.75 = 46,815.75/x
  3. Step 3: Cross multiply
    32,034.38x = 46,815.75 × 46,815.75
  4. Step 4: Simplify right side
    32,034.38x = 2,191,714,448.06
  5. Step 5: Solve for x
    x = 2,191,714,448.06/32,034.38
  6. Step 6: Final answer
    x = 68,417.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.