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Finding the Third Proportional to 1,745 and 3,798.25

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Solution

The third proportional to 1,745 and 3,798.25 is: 8,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745 : 3,798.25 = 3,798.25 : x
  2. Step 2: Convert to fraction form
    1,745/3,798.25 = 3,798.25/x
  3. Step 3: Cross multiply
    1,745x = 3,798.25 × 3,798.25
  4. Step 4: Simplify right side
    1,745x = 14,426,703.06
  5. Step 5: Solve for x
    x = 14,426,703.06/1,745
  6. Step 6: Final answer
    x = 8,267.45

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Why These Related Problems?

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