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Finding the Third Proportional to 11,700 and 17,973.75

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Solution

The third proportional to 11,700 and 17,973.75 is: 27,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,973.75 = 17,973.75 : x
  2. Step 2: Convert to fraction form
    11,700/17,973.75 = 17,973.75/x
  3. Step 3: Cross multiply
    11,700x = 17,973.75 × 17,973.75
  4. Step 4: Simplify right side
    11,700x = 323,055,689.06
  5. Step 5: Solve for x
    x = 323,055,689.06/11,700
  6. Step 6: Final answer
    x = 27,611.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.