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Finding the Third Proportional to 30,370 and 46,854

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Solution

The third proportional to 30,370 and 46,854 is: 72,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370 : 46,854 = 46,854 : x
  2. Step 2: Convert to fraction form
    30,370/46,854 = 46,854/x
  3. Step 3: Cross multiply
    30,370x = 46,854 × 46,854
  4. Step 4: Simplify right side
    30,370x = 2,195,297,316
  5. Step 5: Solve for x
    x = 2,195,297,316/30,370
  6. Step 6: Final answer
    x = 72,285.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.