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Finding the Third Proportional to 41,610 and 63,806

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Solution

The third proportional to 41,610 and 63,806 is: 97,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,610 : 63,806 = 63,806 : x
  2. Step 2: Convert to fraction form
    41,610/63,806 = 63,806/x
  3. Step 3: Cross multiply
    41,610x = 63,806 × 63,806
  4. Step 4: Simplify right side
    41,610x = 4,071,205,636
  5. Step 5: Solve for x
    x = 4,071,205,636/41,610
  6. Step 6: Final answer
    x = 97,842.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.