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Finding the Third Proportional to 15,475 and 33,752

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Solution

The third proportional to 15,475 and 33,752 is: 73,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475 : 33,752 = 33,752 : x
  2. Step 2: Convert to fraction form
    15,475/33,752 = 33,752/x
  3. Step 3: Cross multiply
    15,475x = 33,752 × 33,752
  4. Step 4: Simplify right side
    15,475x = 1,139,197,504
  5. Step 5: Solve for x
    x = 1,139,197,504/15,475
  6. Step 6: Final answer
    x = 73,615.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.