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Finding the Third Proportional to 16,678.50 and 26,556

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Solution

The third proportional to 16,678.50 and 26,556 is: 42,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.50 : 26,556 = 26,556 : x
  2. Step 2: Convert to fraction form
    16,678.50/26,556 = 26,556/x
  3. Step 3: Cross multiply
    16,678.50x = 26,556 × 26,556
  4. Step 4: Simplify right side
    16,678.50x = 705,221,136
  5. Step 5: Solve for x
    x = 705,221,136/16,678.50
  6. Step 6: Final answer
    x = 42,283.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.