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Finding the Third Proportional to 16,700 and 36,316

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Solution

The third proportional to 16,700 and 36,316 is: 78,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 36,316 = 36,316 : x
  2. Step 2: Convert to fraction form
    16,700/36,316 = 36,316/x
  3. Step 3: Cross multiply
    16,700x = 36,316 × 36,316
  4. Step 4: Simplify right side
    16,700x = 1,318,851,856
  5. Step 5: Solve for x
    x = 1,318,851,856/16,700
  6. Step 6: Final answer
    x = 78,973.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.