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Finding the Third Proportional to 19,116 and 46,492

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Solution

The third proportional to 19,116 and 46,492 is: 113,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 46,492 = 46,492 : x
  2. Step 2: Convert to fraction form
    19,116/46,492 = 46,492/x
  3. Step 3: Cross multiply
    19,116x = 46,492 × 46,492
  4. Step 4: Simplify right side
    19,116x = 2,161,506,064
  5. Step 5: Solve for x
    x = 2,161,506,064/19,116
  6. Step 6: Final answer
    x = 113,073.14

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.