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Finding the Third Proportional to 26,495 and 57,553

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Solution

The third proportional to 26,495 and 57,553 is: 125,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495 : 57,553 = 57,553 : x
  2. Step 2: Convert to fraction form
    26,495/57,553 = 57,553/x
  3. Step 3: Cross multiply
    26,495x = 57,553 × 57,553
  4. Step 4: Simplify right side
    26,495x = 3,312,347,809
  5. Step 5: Solve for x
    x = 3,312,347,809/26,495
  6. Step 6: Final answer
    x = 125,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.