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Finding the Third Proportional to 26,604 and 56,284

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Solution

The third proportional to 26,604 and 56,284 is: 119,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604 : 56,284 = 56,284 : x
  2. Step 2: Convert to fraction form
    26,604/56,284 = 56,284/x
  3. Step 3: Cross multiply
    26,604x = 56,284 × 56,284
  4. Step 4: Simplify right side
    26,604x = 3,167,888,656
  5. Step 5: Solve for x
    x = 3,167,888,656/26,604
  6. Step 6: Final answer
    x = 119,075.65

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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.