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Finding the Third Proportional to 34,769 and 46,617

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Solution

The third proportional to 34,769 and 46,617 is: 62,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 46,617 = 46,617 : x
  2. Step 2: Convert to fraction form
    34,769/46,617 = 46,617/x
  3. Step 3: Cross multiply
    34,769x = 46,617 × 46,617
  4. Step 4: Simplify right side
    34,769x = 2,173,144,689
  5. Step 5: Solve for x
    x = 2,173,144,689/34,769
  6. Step 6: Final answer
    x = 62,502.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.