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Finding the Third Proportional to 31,792.50 and 46,807.88

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Solution

The third proportional to 31,792.50 and 46,807.88 is: 68,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.50 : 46,807.88 = 46,807.88 : x
  2. Step 2: Convert to fraction form
    31,792.50/46,807.88 = 46,807.88/x
  3. Step 3: Cross multiply
    31,792.50x = 46,807.88 × 46,807.88
  4. Step 4: Simplify right side
    31,792.50x = 2,190,977,162.02
  5. Step 5: Solve for x
    x = 2,190,977,162.02/31,792.50
  6. Step 6: Final answer
    x = 68,914.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.