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Finding the Third Proportional to 1,957.13 and 4,291.31

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Solution

The third proportional to 1,957.13 and 4,291.31 is: 9,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.13 : 4,291.31 = 4,291.31 : x
  2. Step 2: Convert to fraction form
    1,957.13/4,291.31 = 4,291.31/x
  3. Step 3: Cross multiply
    1,957.13x = 4,291.31 × 4,291.31
  4. Step 4: Simplify right side
    1,957.13x = 18,415,362.97
  5. Step 5: Solve for x
    x = 18,415,362.97/1,957.13
  6. Step 6: Final answer
    x = 9,409.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.