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Finding the Third Proportional to 12,985.31 and 17,330.63

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Solution

The third proportional to 12,985.31 and 17,330.63 is: 23,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.31 : 17,330.63 = 17,330.63 : x
  2. Step 2: Convert to fraction form
    12,985.31/17,330.63 = 17,330.63/x
  3. Step 3: Cross multiply
    12,985.31x = 17,330.63 × 17,330.63
  4. Step 4: Simplify right side
    12,985.31x = 300,350,562.89
  5. Step 5: Solve for x
    x = 300,350,562.89/12,985.31
  6. Step 6: Final answer
    x = 23,130.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.