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Finding the Third Proportional to 28,434 and 66,101

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Solution

The third proportional to 28,434 and 66,101 is: 153,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434 : 66,101 = 66,101 : x
  2. Step 2: Convert to fraction form
    28,434/66,101 = 66,101/x
  3. Step 3: Cross multiply
    28,434x = 66,101 × 66,101
  4. Step 4: Simplify right side
    28,434x = 4,369,342,201
  5. Step 5: Solve for x
    x = 4,369,342,201/28,434
  6. Step 6: Final answer
    x = 153,666.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.