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Finding the Third Proportional to 1,762.31 and 2,464.03

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Solution

The third proportional to 1,762.31 and 2,464.03 is: 3,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.31 : 2,464.03 = 2,464.03 : x
  2. Step 2: Convert to fraction form
    1,762.31/2,464.03 = 2,464.03/x
  3. Step 3: Cross multiply
    1,762.31x = 2,464.03 × 2,464.03
  4. Step 4: Simplify right side
    1,762.31x = 6,071,450.00
  5. Step 5: Solve for x
    x = 6,071,450.00/1,762.31
  6. Step 6: Final answer
    x = 3,445.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.