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Finding the Third Proportional to 30,050 and 70,940

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Solution

The third proportional to 30,050 and 70,940 is: 167,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050 : 70,940 = 70,940 : x
  2. Step 2: Convert to fraction form
    30,050/70,940 = 70,940/x
  3. Step 3: Cross multiply
    30,050x = 70,940 × 70,940
  4. Step 4: Simplify right side
    30,050x = 5,032,483,600
  5. Step 5: Solve for x
    x = 5,032,483,600/30,050
  6. Step 6: Final answer
    x = 167,470.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.