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Finding the Third Proportional to 4,032.50 and 8,434.63

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Solution

The third proportional to 4,032.50 and 8,434.63 is: 17,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.50 : 8,434.63 = 8,434.63 : x
  2. Step 2: Convert to fraction form
    4,032.50/8,434.63 = 8,434.63/x
  3. Step 3: Cross multiply
    4,032.50x = 8,434.63 × 8,434.63
  4. Step 4: Simplify right side
    4,032.50x = 71,142,898.89
  5. Step 5: Solve for x
    x = 71,142,898.89/4,032.50
  6. Step 6: Final answer
    x = 17,642.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.