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Finding the Third Proportional to 12,382 and 26,492

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Solution

The third proportional to 12,382 and 26,492 is: 56,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382 : 26,492 = 26,492 : x
  2. Step 2: Convert to fraction form
    12,382/26,492 = 26,492/x
  3. Step 3: Cross multiply
    12,382x = 26,492 × 26,492
  4. Step 4: Simplify right side
    12,382x = 701,826,064
  5. Step 5: Solve for x
    x = 701,826,064/12,382
  6. Step 6: Final answer
    x = 56,681.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.