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Finding the Third Proportional to 26,528 and 56,208

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Solution

The third proportional to 26,528 and 56,208 is: 119,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,528 : 56,208 = 56,208 : x
  2. Step 2: Convert to fraction form
    26,528/56,208 = 56,208/x
  3. Step 3: Cross multiply
    26,528x = 56,208 × 56,208
  4. Step 4: Simplify right side
    26,528x = 3,159,339,264
  5. Step 5: Solve for x
    x = 3,159,339,264/26,528
  6. Step 6: Final answer
    x = 119,094.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.