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Finding the Third Proportional to 12,210.75 and 17,884.13

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Solution

The third proportional to 12,210.75 and 17,884.13 is: 26,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.75 : 17,884.13 = 17,884.13 : x
  2. Step 2: Convert to fraction form
    12,210.75/17,884.13 = 17,884.13/x
  3. Step 3: Cross multiply
    12,210.75x = 17,884.13 × 17,884.13
  4. Step 4: Simplify right side
    12,210.75x = 319,841,927.02
  5. Step 5: Solve for x
    x = 319,841,927.02/12,210.75
  6. Step 6: Final answer
    x = 26,193.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.