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Finding the Third Proportional to 4,032.84 and 6,075.84

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Solution

The third proportional to 4,032.84 and 6,075.84 is: 9,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.84 : 6,075.84 = 6,075.84 : x
  2. Step 2: Convert to fraction form
    4,032.84/6,075.84 = 6,075.84/x
  3. Step 3: Cross multiply
    4,032.84x = 6,075.84 × 6,075.84
  4. Step 4: Simplify right side
    4,032.84x = 36,915,877.27
  5. Step 5: Solve for x
    x = 36,915,877.27/4,032.84
  6. Step 6: Final answer
    x = 9,153.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.