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Finding the Third Proportional to 12,973.50 and 20,810.25

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Solution

The third proportional to 12,973.50 and 20,810.25 is: 33,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.50 : 20,810.25 = 20,810.25 : x
  2. Step 2: Convert to fraction form
    12,973.50/20,810.25 = 20,810.25/x
  3. Step 3: Cross multiply
    12,973.50x = 20,810.25 × 20,810.25
  4. Step 4: Simplify right side
    12,973.50x = 433,066,505.06
  5. Step 5: Solve for x
    x = 433,066,505.06/12,973.50
  6. Step 6: Final answer
    x = 33,380.85

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.