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Finding the Third Proportional to 10,179 and 13,415.63

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Solution

The third proportional to 10,179 and 13,415.63 is: 17,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179 : 13,415.63 = 13,415.63 : x
  2. Step 2: Convert to fraction form
    10,179/13,415.63 = 13,415.63/x
  3. Step 3: Cross multiply
    10,179x = 13,415.63 × 13,415.63
  4. Step 4: Simplify right side
    10,179x = 179,978,994.14
  5. Step 5: Solve for x
    x = 179,978,994.14/10,179
  6. Step 6: Final answer
    x = 17,681.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.