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Finding the Third Proportional to 2,307.75 and 3,668.63

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Solution

The third proportional to 2,307.75 and 3,668.63 is: 5,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.75 : 3,668.63 = 3,668.63 : x
  2. Step 2: Convert to fraction form
    2,307.75/3,668.63 = 3,668.63/x
  3. Step 3: Cross multiply
    2,307.75x = 3,668.63 × 3,668.63
  4. Step 4: Simplify right side
    2,307.75x = 13,458,809.39
  5. Step 5: Solve for x
    x = 13,458,809.39/2,307.75
  6. Step 6: Final answer
    x = 5,832.00

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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.