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Finding the Third Proportional to 5,668.88 and 12,341.63

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Solution

The third proportional to 5,668.88 and 12,341.63 is: 26,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.88 : 12,341.63 = 12,341.63 : x
  2. Step 2: Convert to fraction form
    5,668.88/12,341.63 = 12,341.63/x
  3. Step 3: Cross multiply
    5,668.88x = 12,341.63 × 12,341.63
  4. Step 4: Simplify right side
    5,668.88x = 152,315,707.64
  5. Step 5: Solve for x
    x = 152,315,707.64/5,668.88
  6. Step 6: Final answer
    x = 26,868.77

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