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Finding the Third Proportional to 30,951 and 53,959.50

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Solution

The third proportional to 30,951 and 53,959.50 is: 94,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951 : 53,959.50 = 53,959.50 : x
  2. Step 2: Convert to fraction form
    30,951/53,959.50 = 53,959.50/x
  3. Step 3: Cross multiply
    30,951x = 53,959.50 × 53,959.50
  4. Step 4: Simplify right side
    30,951x = 2,911,627,640.25
  5. Step 5: Solve for x
    x = 2,911,627,640.25/30,951
  6. Step 6: Final answer
    x = 94,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.