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Finding the Third Proportional to 4,860.84 and 7,506.84

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Solution

The third proportional to 4,860.84 and 7,506.84 is: 11,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.84 : 7,506.84 = 7,506.84 : x
  2. Step 2: Convert to fraction form
    4,860.84/7,506.84 = 7,506.84/x
  3. Step 3: Cross multiply
    4,860.84x = 7,506.84 × 7,506.84
  4. Step 4: Simplify right side
    4,860.84x = 56,352,703.09
  5. Step 5: Solve for x
    x = 56,352,703.09/4,860.84
  6. Step 6: Final answer
    x = 11,593.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.