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Finding the Third Proportional to 2,326.64 and 5,071.64

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Solution

The third proportional to 2,326.64 and 5,071.64 is: 11,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 5,071.64 = 5,071.64 : x
  2. Step 2: Convert to fraction form
    2,326.64/5,071.64 = 5,071.64/x
  3. Step 3: Cross multiply
    2,326.64x = 5,071.64 × 5,071.64
  4. Step 4: Simplify right side
    2,326.64x = 25,721,538.63
  5. Step 5: Solve for x
    x = 25,721,538.63/2,326.64
  6. Step 6: Final answer
    x = 11,055.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.