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Finding the Third Proportional to 19,426 and 40,492

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Solution

The third proportional to 19,426 and 40,492 is: 84,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426 : 40,492 = 40,492 : x
  2. Step 2: Convert to fraction form
    19,426/40,492 = 40,492/x
  3. Step 3: Cross multiply
    19,426x = 40,492 × 40,492
  4. Step 4: Simplify right side
    19,426x = 1,639,602,064
  5. Step 5: Solve for x
    x = 1,639,602,064/19,426
  6. Step 6: Final answer
    x = 84,402.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.