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Finding the Third Proportional to 30,187.50 and 32,920.50

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Solution

The third proportional to 30,187.50 and 32,920.50 is: 35,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.50 : 32,920.50 = 32,920.50 : x
  2. Step 2: Convert to fraction form
    30,187.50/32,920.50 = 32,920.50/x
  3. Step 3: Cross multiply
    30,187.50x = 32,920.50 × 32,920.50
  4. Step 4: Simplify right side
    30,187.50x = 1,083,759,320.25
  5. Step 5: Solve for x
    x = 1,083,759,320.25/30,187.50
  6. Step 6: Final answer
    x = 35,900.93

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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.