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Finding the Third Proportional to 12,953.25 and 20,597.63

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Solution

The third proportional to 12,953.25 and 20,597.63 is: 32,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.25 : 20,597.63 = 20,597.63 : x
  2. Step 2: Convert to fraction form
    12,953.25/20,597.63 = 20,597.63/x
  3. Step 3: Cross multiply
    12,953.25x = 20,597.63 × 20,597.63
  4. Step 4: Simplify right side
    12,953.25x = 424,262,155.64
  5. Step 5: Solve for x
    x = 424,262,155.64/12,953.25
  6. Step 6: Final answer
    x = 32,753.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.