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Finding the Third Proportional to 16,610 and 38,813

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Solution

The third proportional to 16,610 and 38,813 is: 90,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610 : 38,813 = 38,813 : x
  2. Step 2: Convert to fraction form
    16,610/38,813 = 38,813/x
  3. Step 3: Cross multiply
    16,610x = 38,813 × 38,813
  4. Step 4: Simplify right side
    16,610x = 1,506,448,969
  5. Step 5: Solve for x
    x = 1,506,448,969/16,610
  6. Step 6: Final answer
    x = 90,695.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.