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Finding the Third Proportional to 32,199.75 and 46,837.69

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Solution

The third proportional to 32,199.75 and 46,837.69 is: 68,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.75 : 46,837.69 = 46,837.69 : x
  2. Step 2: Convert to fraction form
    32,199.75/46,837.69 = 46,837.69/x
  3. Step 3: Cross multiply
    32,199.75x = 46,837.69 × 46,837.69
  4. Step 4: Simplify right side
    32,199.75x = 2,193,768,970.35
  5. Step 5: Solve for x
    x = 2,193,768,970.35/32,199.75
  6. Step 6: Final answer
    x = 68,130.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.