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Finding the Third Proportional to 12,561 and 17,303.63

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Solution

The third proportional to 12,561 and 17,303.63 is: 23,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561 : 17,303.63 = 17,303.63 : x
  2. Step 2: Convert to fraction form
    12,561/17,303.63 = 17,303.63/x
  3. Step 3: Cross multiply
    12,561x = 17,303.63 × 17,303.63
  4. Step 4: Simplify right side
    12,561x = 299,415,438.14
  5. Step 5: Solve for x
    x = 299,415,438.14/12,561
  6. Step 6: Final answer
    x = 23,836.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.