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Finding the Third Proportional to 8,698.50 and 15,668.50

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Solution

The third proportional to 8,698.50 and 15,668.50 is: 28,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.50 : 15,668.50 = 15,668.50 : x
  2. Step 2: Convert to fraction form
    8,698.50/15,668.50 = 15,668.50/x
  3. Step 3: Cross multiply
    8,698.50x = 15,668.50 × 15,668.50
  4. Step 4: Simplify right side
    8,698.50x = 245,501,892.25
  5. Step 5: Solve for x
    x = 245,501,892.25/8,698.50
  6. Step 6: Final answer
    x = 28,223.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.