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Finding the Third Proportional to 2,849.63 and 4,312.41

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Solution

The third proportional to 2,849.63 and 4,312.41 is: 6,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.63 : 4,312.41 = 4,312.41 : x
  2. Step 2: Convert to fraction form
    2,849.63/4,312.41 = 4,312.41/x
  3. Step 3: Cross multiply
    2,849.63x = 4,312.41 × 4,312.41
  4. Step 4: Simplify right side
    2,849.63x = 18,596,847.67
  5. Step 5: Solve for x
    x = 18,596,847.67/2,849.63
  6. Step 6: Final answer
    x = 6,526.07

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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.