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Finding the Third Proportional to 8,145 and 16,047

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Solution

The third proportional to 8,145 and 16,047 is: 31,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 16,047 = 16,047 : x
  2. Step 2: Convert to fraction form
    8,145/16,047 = 16,047/x
  3. Step 3: Cross multiply
    8,145x = 16,047 × 16,047
  4. Step 4: Simplify right side
    8,145x = 257,506,209
  5. Step 5: Solve for x
    x = 257,506,209/8,145
  6. Step 6: Final answer
    x = 31,615.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.