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Finding the Third Proportional to 5,685.19 and 11,075.06

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Solution

The third proportional to 5,685.19 and 11,075.06 is: 21,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.19 : 11,075.06 = 11,075.06 : x
  2. Step 2: Convert to fraction form
    5,685.19/11,075.06 = 11,075.06/x
  3. Step 3: Cross multiply
    5,685.19x = 11,075.06 × 11,075.06
  4. Step 4: Simplify right side
    5,685.19x = 122,657,009.38
  5. Step 5: Solve for x
    x = 122,657,009.38/5,685.19
  6. Step 6: Final answer
    x = 21,574.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.