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Finding the Third Proportional to 21,880 and 46,492

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Solution

The third proportional to 21,880 and 46,492 is: 98,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880 : 46,492 = 46,492 : x
  2. Step 2: Convert to fraction form
    21,880/46,492 = 46,492/x
  3. Step 3: Cross multiply
    21,880x = 46,492 × 46,492
  4. Step 4: Simplify right side
    21,880x = 2,161,506,064
  5. Step 5: Solve for x
    x = 2,161,506,064/21,880
  6. Step 6: Final answer
    x = 98,789.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.