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Finding the Third Proportional to 30,118 and 46,846

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Solution

The third proportional to 30,118 and 46,846 is: 72,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,118 : 46,846 = 46,846 : x
  2. Step 2: Convert to fraction form
    30,118/46,846 = 46,846/x
  3. Step 3: Cross multiply
    30,118x = 46,846 × 46,846
  4. Step 4: Simplify right side
    30,118x = 2,194,547,716
  5. Step 5: Solve for x
    x = 2,194,547,716/30,118
  6. Step 6: Final answer
    x = 72,864.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.