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Finding the Third Proportional to 10,416 and 15,973

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Solution

The third proportional to 10,416 and 15,973 is: 24,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 15,973 = 15,973 : x
  2. Step 2: Convert to fraction form
    10,416/15,973 = 15,973/x
  3. Step 3: Cross multiply
    10,416x = 15,973 × 15,973
  4. Step 4: Simplify right side
    10,416x = 255,136,729
  5. Step 5: Solve for x
    x = 255,136,729/10,416
  6. Step 6: Final answer
    x = 24,494.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.