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Finding the Third Proportional to 8,977.50 and 18,925.31

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Solution

The third proportional to 8,977.50 and 18,925.31 is: 39,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 18,925.31 = 18,925.31 : x
  2. Step 2: Convert to fraction form
    8,977.50/18,925.31 = 18,925.31/x
  3. Step 3: Cross multiply
    8,977.50x = 18,925.31 × 18,925.31
  4. Step 4: Simplify right side
    8,977.50x = 358,167,453.22
  5. Step 5: Solve for x
    x = 358,167,453.22/8,977.50
  6. Step 6: Final answer
    x = 39,896.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.