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Finding the Third Proportional to 44,300.25 and 70,524

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Solution

The third proportional to 44,300.25 and 70,524 is: 112,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,300.25 : 70,524 = 70,524 : x
  2. Step 2: Convert to fraction form
    44,300.25/70,524 = 70,524/x
  3. Step 3: Cross multiply
    44,300.25x = 70,524 × 70,524
  4. Step 4: Simplify right side
    44,300.25x = 4,973,634,576
  5. Step 5: Solve for x
    x = 4,973,634,576/44,300.25
  6. Step 6: Final answer
    x = 112,271.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.