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Finding the Third Proportional to 2,421.93 and 3,594.45

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Solution

The third proportional to 2,421.93 and 3,594.45 is: 5,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.93 : 3,594.45 = 3,594.45 : x
  2. Step 2: Convert to fraction form
    2,421.93/3,594.45 = 3,594.45/x
  3. Step 3: Cross multiply
    2,421.93x = 3,594.45 × 3,594.45
  4. Step 4: Simplify right side
    2,421.93x = 12,920,100.29
  5. Step 5: Solve for x
    x = 12,920,100.29/2,421.93
  6. Step 6: Final answer
    x = 5,334.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.