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Finding the Third Proportional to 18,929.50 and 29,698.88

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Solution

The third proportional to 18,929.50 and 29,698.88 is: 46,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,929.50 : 29,698.88 = 29,698.88 : x
  2. Step 2: Convert to fraction form
    18,929.50/29,698.88 = 29,698.88/x
  3. Step 3: Cross multiply
    18,929.50x = 29,698.88 × 29,698.88
  4. Step 4: Simplify right side
    18,929.50x = 882,023,176.27
  5. Step 5: Solve for x
    x = 882,023,176.27/18,929.50
  6. Step 6: Final answer
    x = 46,595.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.