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Finding the Third Proportional to 31,784.06 and 46,459.20

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Solution

The third proportional to 31,784.06 and 46,459.20 is: 67,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.06 : 46,459.20 = 46,459.20 : x
  2. Step 2: Convert to fraction form
    31,784.06/46,459.20 = 46,459.20/x
  3. Step 3: Cross multiply
    31,784.06x = 46,459.20 × 46,459.20
  4. Step 4: Simplify right side
    31,784.06x = 2,158,456,829.09
  5. Step 5: Solve for x
    x = 2,158,456,829.09/31,784.06
  6. Step 6: Final answer
    x = 67,910.04

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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.