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Finding the Third Proportional to 34,050 and 72,732

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Solution

The third proportional to 34,050 and 72,732 is: 155,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050 : 72,732 = 72,732 : x
  2. Step 2: Convert to fraction form
    34,050/72,732 = 72,732/x
  3. Step 3: Cross multiply
    34,050x = 72,732 × 72,732
  4. Step 4: Simplify right side
    34,050x = 5,289,943,824
  5. Step 5: Solve for x
    x = 5,289,943,824/34,050
  6. Step 6: Final answer
    x = 155,358.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.