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Finding the Third Proportional to 11,345.06 and 17,987.06

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Solution

The third proportional to 11,345.06 and 17,987.06 is: 28,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 17,987.06 = 17,987.06 : x
  2. Step 2: Convert to fraction form
    11,345.06/17,987.06 = 17,987.06/x
  3. Step 3: Cross multiply
    11,345.06x = 17,987.06 × 17,987.06
  4. Step 4: Simplify right side
    11,345.06x = 323,534,417.38
  5. Step 5: Solve for x
    x = 323,534,417.38/11,345.06
  6. Step 6: Final answer
    x = 28,517.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.