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Finding the Third Proportional to 30,264 and 47,053.50

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Solution

The third proportional to 30,264 and 47,053.50 is: 73,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264 : 47,053.50 = 47,053.50 : x
  2. Step 2: Convert to fraction form
    30,264/47,053.50 = 47,053.50/x
  3. Step 3: Cross multiply
    30,264x = 47,053.50 × 47,053.50
  4. Step 4: Simplify right side
    30,264x = 2,214,031,862.25
  5. Step 5: Solve for x
    x = 2,214,031,862.25/30,264
  6. Step 6: Final answer
    x = 73,157.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.