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Finding the Third Proportional to 16,698 and 19,776

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Solution

The third proportional to 16,698 and 19,776 is: 23,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 19,776 = 19,776 : x
  2. Step 2: Convert to fraction form
    16,698/19,776 = 19,776/x
  3. Step 3: Cross multiply
    16,698x = 19,776 × 19,776
  4. Step 4: Simplify right side
    16,698x = 391,090,176
  5. Step 5: Solve for x
    x = 391,090,176/16,698
  6. Step 6: Final answer
    x = 23,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.