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Finding the Third Proportional to 14,784 and 31,912.50

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Solution

The third proportional to 14,784 and 31,912.50 is: 68,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 31,912.50 = 31,912.50 : x
  2. Step 2: Convert to fraction form
    14,784/31,912.50 = 31,912.50/x
  3. Step 3: Cross multiply
    14,784x = 31,912.50 × 31,912.50
  4. Step 4: Simplify right side
    14,784x = 1,018,407,656.25
  5. Step 5: Solve for x
    x = 1,018,407,656.25/14,784
  6. Step 6: Final answer
    x = 68,885.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.