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Finding the Third Proportional to 15,678.75 and 33,913.50

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Solution

The third proportional to 15,678.75 and 33,913.50 is: 73,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.75 : 33,913.50 = 33,913.50 : x
  2. Step 2: Convert to fraction form
    15,678.75/33,913.50 = 33,913.50/x
  3. Step 3: Cross multiply
    15,678.75x = 33,913.50 × 33,913.50
  4. Step 4: Simplify right side
    15,678.75x = 1,150,125,482.25
  5. Step 5: Solve for x
    x = 1,150,125,482.25/15,678.75
  6. Step 6: Final answer
    x = 73,355.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.