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Finding the Third Proportional to 16,463 and 35,585

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Solution

The third proportional to 16,463 and 35,585 is: 76,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463 : 35,585 = 35,585 : x
  2. Step 2: Convert to fraction form
    16,463/35,585 = 35,585/x
  3. Step 3: Cross multiply
    16,463x = 35,585 × 35,585
  4. Step 4: Simplify right side
    16,463x = 1,266,292,225
  5. Step 5: Solve for x
    x = 1,266,292,225/16,463
  6. Step 6: Final answer
    x = 76,917.46

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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.