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Finding the Third Proportional to 31,779.84 and 62,762.34

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Solution

The third proportional to 31,779.84 and 62,762.34 is: 123,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 62,762.34 = 62,762.34 : x
  2. Step 2: Convert to fraction form
    31,779.84/62,762.34 = 62,762.34/x
  3. Step 3: Cross multiply
    31,779.84x = 62,762.34 × 62,762.34
  4. Step 4: Simplify right side
    31,779.84x = 3,939,111,792.99
  5. Step 5: Solve for x
    x = 3,939,111,792.99/31,779.84
  6. Step 6: Final answer
    x = 123,950.01

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.