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Finding the Third Proportional to 2,124.35 and 4,554.83

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Solution

The third proportional to 2,124.35 and 4,554.83 is: 9,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.35 : 4,554.83 = 4,554.83 : x
  2. Step 2: Convert to fraction form
    2,124.35/4,554.83 = 4,554.83/x
  3. Step 3: Cross multiply
    2,124.35x = 4,554.83 × 4,554.83
  4. Step 4: Simplify right side
    2,124.35x = 20,746,441.46
  5. Step 5: Solve for x
    x = 20,746,441.46/2,124.35
  6. Step 6: Final answer
    x = 9,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.