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Finding the Third Proportional to 62,030 and 79,653

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Solution

The third proportional to 62,030 and 79,653 is: 102,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,030 : 79,653 = 79,653 : x
  2. Step 2: Convert to fraction form
    62,030/79,653 = 79,653/x
  3. Step 3: Cross multiply
    62,030x = 79,653 × 79,653
  4. Step 4: Simplify right side
    62,030x = 6,344,600,409
  5. Step 5: Solve for x
    x = 6,344,600,409/62,030
  6. Step 6: Final answer
    x = 102,282.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.