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Finding the Third Proportional to 31,914 and 53,004.50

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Solution

The third proportional to 31,914 and 53,004.50 is: 88,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 53,004.50 = 53,004.50 : x
  2. Step 2: Convert to fraction form
    31,914/53,004.50 = 53,004.50/x
  3. Step 3: Cross multiply
    31,914x = 53,004.50 × 53,004.50
  4. Step 4: Simplify right side
    31,914x = 2,809,477,020.25
  5. Step 5: Solve for x
    x = 2,809,477,020.25/31,914
  6. Step 6: Final answer
    x = 88,032.74

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.