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Finding the Third Proportional to 34,026.75 and 46,347.19

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Solution

The third proportional to 34,026.75 and 46,347.19 is: 63,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026.75 : 46,347.19 = 46,347.19 : x
  2. Step 2: Convert to fraction form
    34,026.75/46,347.19 = 46,347.19/x
  3. Step 3: Cross multiply
    34,026.75x = 46,347.19 × 46,347.19
  4. Step 4: Simplify right side
    34,026.75x = 2,148,061,789.16
  5. Step 5: Solve for x
    x = 2,148,061,789.16/34,026.75
  6. Step 6: Final answer
    x = 63,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.