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Finding the Third Proportional to 28,970 and 41,323

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Solution

The third proportional to 28,970 and 41,323 is: 58,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,970 : 41,323 = 41,323 : x
  2. Step 2: Convert to fraction form
    28,970/41,323 = 41,323/x
  3. Step 3: Cross multiply
    28,970x = 41,323 × 41,323
  4. Step 4: Simplify right side
    28,970x = 1,707,590,329
  5. Step 5: Solve for x
    x = 1,707,590,329/28,970
  6. Step 6: Final answer
    x = 58,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.