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Finding the Third Proportional to 16,603 and 35,798

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Solution

The third proportional to 16,603 and 35,798 is: 77,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603 : 35,798 = 35,798 : x
  2. Step 2: Convert to fraction form
    16,603/35,798 = 35,798/x
  3. Step 3: Cross multiply
    16,603x = 35,798 × 35,798
  4. Step 4: Simplify right side
    16,603x = 1,281,496,804
  5. Step 5: Solve for x
    x = 1,281,496,804/16,603
  6. Step 6: Final answer
    x = 77,184.65

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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.