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Finding the Third Proportional to 23,528 and 51,664

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Solution

The third proportional to 23,528 and 51,664 is: 113,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 51,664 = 51,664 : x
  2. Step 2: Convert to fraction form
    23,528/51,664 = 51,664/x
  3. Step 3: Cross multiply
    23,528x = 51,664 × 51,664
  4. Step 4: Simplify right side
    23,528x = 2,669,168,896
  5. Step 5: Solve for x
    x = 2,669,168,896/23,528
  6. Step 6: Final answer
    x = 113,446.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.