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Finding the Third Proportional to 16,830 and 28,557

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Solution

The third proportional to 16,830 and 28,557 is: 48,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 28,557 = 28,557 : x
  2. Step 2: Convert to fraction form
    16,830/28,557 = 28,557/x
  3. Step 3: Cross multiply
    16,830x = 28,557 × 28,557
  4. Step 4: Simplify right side
    16,830x = 815,502,249
  5. Step 5: Solve for x
    x = 815,502,249/16,830
  6. Step 6: Final answer
    x = 48,455.27

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.