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Finding the Third Proportional to 16,570 and 36,590

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Solution

The third proportional to 16,570 and 36,590 is: 80,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570 : 36,590 = 36,590 : x
  2. Step 2: Convert to fraction form
    16,570/36,590 = 36,590/x
  3. Step 3: Cross multiply
    16,570x = 36,590 × 36,590
  4. Step 4: Simplify right side
    16,570x = 1,338,828,100
  5. Step 5: Solve for x
    x = 1,338,828,100/16,570
  6. Step 6: Final answer
    x = 80,798.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.