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Finding the Third Proportional to 45,048 and 70,666

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Solution

The third proportional to 45,048 and 70,666 is: 110,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,048 : 70,666 = 70,666 : x
  2. Step 2: Convert to fraction form
    45,048/70,666 = 70,666/x
  3. Step 3: Cross multiply
    45,048x = 70,666 × 70,666
  4. Step 4: Simplify right side
    45,048x = 4,993,683,556
  5. Step 5: Solve for x
    x = 4,993,683,556/45,048
  6. Step 6: Final answer
    x = 110,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.