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Finding the Third Proportional to 46,622.50 and 70,321

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Solution

The third proportional to 46,622.50 and 70,321 is: 106,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,622.50 : 70,321 = 70,321 : x
  2. Step 2: Convert to fraction form
    46,622.50/70,321 = 70,321/x
  3. Step 3: Cross multiply
    46,622.50x = 70,321 × 70,321
  4. Step 4: Simplify right side
    46,622.50x = 4,945,043,041
  5. Step 5: Solve for x
    x = 4,945,043,041/46,622.50
  6. Step 6: Final answer
    x = 106,065.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.