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Finding the Third Proportional to 1,948.63 and 4,131.13

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Solution

The third proportional to 1,948.63 and 4,131.13 is: 8,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.63 : 4,131.13 = 4,131.13 : x
  2. Step 2: Convert to fraction form
    1,948.63/4,131.13 = 4,131.13/x
  3. Step 3: Cross multiply
    1,948.63x = 4,131.13 × 4,131.13
  4. Step 4: Simplify right side
    1,948.63x = 17,066,193.77
  5. Step 5: Solve for x
    x = 17,066,193.77/1,948.63
  6. Step 6: Final answer
    x = 8,758.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.