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Finding the Third Proportional to 1,762.50 and 2,466.38

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Solution

The third proportional to 1,762.50 and 2,466.38 is: 3,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.50 : 2,466.38 = 2,466.38 : x
  2. Step 2: Convert to fraction form
    1,762.50/2,466.38 = 2,466.38/x
  3. Step 3: Cross multiply
    1,762.50x = 2,466.38 × 2,466.38
  4. Step 4: Simplify right side
    1,762.50x = 6,083,005.64
  5. Step 5: Solve for x
    x = 6,083,005.64/1,762.50
  6. Step 6: Final answer
    x = 3,451.35

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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.