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Finding the Third Proportional to 2,354.06 and 5,075.16

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Solution

The third proportional to 2,354.06 and 5,075.16 is: 10,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.06 : 5,075.16 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    2,354.06/5,075.16 = 5,075.16/x
  3. Step 3: Cross multiply
    2,354.06x = 5,075.16 × 5,075.16
  4. Step 4: Simplify right side
    2,354.06x = 25,757,210.96
  5. Step 5: Solve for x
    x = 25,757,210.96/2,354.06
  6. Step 6: Final answer
    x = 10,941.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.