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Finding the Third Proportional to 28,730.25 and 32,901.75

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Solution

The third proportional to 28,730.25 and 32,901.75 is: 37,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,730.25 : 32,901.75 = 32,901.75 : x
  2. Step 2: Convert to fraction form
    28,730.25/32,901.75 = 32,901.75/x
  3. Step 3: Cross multiply
    28,730.25x = 32,901.75 × 32,901.75
  4. Step 4: Simplify right side
    28,730.25x = 1,082,525,153.06
  5. Step 5: Solve for x
    x = 1,082,525,153.06/28,730.25
  6. Step 6: Final answer
    x = 37,678.93

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.