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Finding the Third Proportional to 30,747 and 45,024

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Solution

The third proportional to 30,747 and 45,024 is: 65,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747 : 45,024 = 45,024 : x
  2. Step 2: Convert to fraction form
    30,747/45,024 = 45,024/x
  3. Step 3: Cross multiply
    30,747x = 45,024 × 45,024
  4. Step 4: Simplify right side
    30,747x = 2,027,160,576
  5. Step 5: Solve for x
    x = 2,027,160,576/30,747
  6. Step 6: Final answer
    x = 65,930.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.