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Finding the Third Proportional to 19,464 and 40,312

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Solution

The third proportional to 19,464 and 40,312 is: 83,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 40,312 = 40,312 : x
  2. Step 2: Convert to fraction form
    19,464/40,312 = 40,312/x
  3. Step 3: Cross multiply
    19,464x = 40,312 × 40,312
  4. Step 4: Simplify right side
    19,464x = 1,625,057,344
  5. Step 5: Solve for x
    x = 1,625,057,344/19,464
  6. Step 6: Final answer
    x = 83,490.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.