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Finding the Third Proportional to 14,402.81 and 16,475.91

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Solution

The third proportional to 14,402.81 and 16,475.91 is: 18,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.81 : 16,475.91 = 16,475.91 : x
  2. Step 2: Convert to fraction form
    14,402.81/16,475.91 = 16,475.91/x
  3. Step 3: Cross multiply
    14,402.81x = 16,475.91 × 16,475.91
  4. Step 4: Simplify right side
    14,402.81x = 271,455,486.76
  5. Step 5: Solve for x
    x = 271,455,486.76/14,402.81
  6. Step 6: Final answer
    x = 18,847.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.