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Finding the Third Proportional to 14,798.50 and 31,480.50

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Solution

The third proportional to 14,798.50 and 31,480.50 is: 66,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.50 : 31,480.50 = 31,480.50 : x
  2. Step 2: Convert to fraction form
    14,798.50/31,480.50 = 31,480.50/x
  3. Step 3: Cross multiply
    14,798.50x = 31,480.50 × 31,480.50
  4. Step 4: Simplify right side
    14,798.50x = 991,021,880.25
  5. Step 5: Solve for x
    x = 991,021,880.25/14,798.50
  6. Step 6: Final answer
    x = 66,967.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.