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Finding the Third Proportional to 1,738.50 and 4,130.25

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Solution

The third proportional to 1,738.50 and 4,130.25 is: 9,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.50 : 4,130.25 = 4,130.25 : x
  2. Step 2: Convert to fraction form
    1,738.50/4,130.25 = 4,130.25/x
  3. Step 3: Cross multiply
    1,738.50x = 4,130.25 × 4,130.25
  4. Step 4: Simplify right side
    1,738.50x = 17,058,965.06
  5. Step 5: Solve for x
    x = 17,058,965.06/1,738.50
  6. Step 6: Final answer
    x = 9,812.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.