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Finding the Third Proportional to 12,973.50 and 28,422.56

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Solution

The third proportional to 12,973.50 and 28,422.56 is: 62,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.50 : 28,422.56 = 28,422.56 : x
  2. Step 2: Convert to fraction form
    12,973.50/28,422.56 = 28,422.56/x
  3. Step 3: Cross multiply
    12,973.50x = 28,422.56 × 28,422.56
  4. Step 4: Simplify right side
    12,973.50x = 807,842,059.07
  5. Step 5: Solve for x
    x = 807,842,059.07/12,973.50
  6. Step 6: Final answer
    x = 62,268.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.