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Finding the Third Proportional to 12,821.63 and 28,935.56

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Solution

The third proportional to 12,821.63 and 28,935.56 is: 65,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.63 : 28,935.56 = 28,935.56 : x
  2. Step 2: Convert to fraction form
    12,821.63/28,935.56 = 28,935.56/x
  3. Step 3: Cross multiply
    12,821.63x = 28,935.56 × 28,935.56
  4. Step 4: Simplify right side
    12,821.63x = 837,266,777.19
  5. Step 5: Solve for x
    x = 837,266,777.19/12,821.63
  6. Step 6: Final answer
    x = 65,301.14

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.