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Finding the Third Proportional to 4,532.84 and 6,929.51

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Solution

The third proportional to 4,532.84 and 6,929.51 is: 10,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.84 : 6,929.51 = 6,929.51 : x
  2. Step 2: Convert to fraction form
    4,532.84/6,929.51 = 6,929.51/x
  3. Step 3: Cross multiply
    4,532.84x = 6,929.51 × 6,929.51
  4. Step 4: Simplify right side
    4,532.84x = 48,018,078.52
  5. Step 5: Solve for x
    x = 48,018,078.52/4,532.84
  6. Step 6: Final answer
    x = 10,593.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.