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Finding the Third Proportional to 19,476 and 29,943

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Solution

The third proportional to 19,476 and 29,943 is: 46,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 29,943 = 29,943 : x
  2. Step 2: Convert to fraction form
    19,476/29,943 = 29,943/x
  3. Step 3: Cross multiply
    19,476x = 29,943 × 29,943
  4. Step 4: Simplify right side
    19,476x = 896,583,249
  5. Step 5: Solve for x
    x = 896,583,249/19,476
  6. Step 6: Final answer
    x = 46,035.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.