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Finding the Third Proportional to 23,473 and 50,633

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Solution

The third proportional to 23,473 and 50,633 is: 109,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473 : 50,633 = 50,633 : x
  2. Step 2: Convert to fraction form
    23,473/50,633 = 50,633/x
  3. Step 3: Cross multiply
    23,473x = 50,633 × 50,633
  4. Step 4: Simplify right side
    23,473x = 2,563,700,689
  5. Step 5: Solve for x
    x = 2,563,700,689/23,473
  6. Step 6: Final answer
    x = 109,219.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.