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Finding the Third Proportional to 30,898.97 and 46,356.05

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Solution

The third proportional to 30,898.97 and 46,356.05 is: 69,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.97 : 46,356.05 = 46,356.05 : x
  2. Step 2: Convert to fraction form
    30,898.97/46,356.05 = 46,356.05/x
  3. Step 3: Cross multiply
    30,898.97x = 46,356.05 × 46,356.05
  4. Step 4: Simplify right side
    30,898.97x = 2,148,883,081.88
  5. Step 5: Solve for x
    x = 2,148,883,081.88/30,898.97
  6. Step 6: Final answer
    x = 69,545.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.