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Finding the Third Proportional to 28,533.50 and 31,004

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Solution

The third proportional to 28,533.50 and 31,004 is: 33,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533.50 : 31,004 = 31,004 : x
  2. Step 2: Convert to fraction form
    28,533.50/31,004 = 31,004/x
  3. Step 3: Cross multiply
    28,533.50x = 31,004 × 31,004
  4. Step 4: Simplify right side
    28,533.50x = 961,248,016
  5. Step 5: Solve for x
    x = 961,248,016/28,533.50
  6. Step 6: Final answer
    x = 33,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.