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Finding the Third Proportional to 7,871.63 and 16,106.63

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Solution

The third proportional to 7,871.63 and 16,106.63 is: 32,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.63 : 16,106.63 = 16,106.63 : x
  2. Step 2: Convert to fraction form
    7,871.63/16,106.63 = 16,106.63/x
  3. Step 3: Cross multiply
    7,871.63x = 16,106.63 × 16,106.63
  4. Step 4: Simplify right side
    7,871.63x = 259,423,368.89
  5. Step 5: Solve for x
    x = 259,423,368.89/7,871.63
  6. Step 6: Final answer
    x = 32,956.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.