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Finding the Third Proportional to 31,014.56 and 65,669.06

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Solution

The third proportional to 31,014.56 and 65,669.06 is: 139,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.56 : 65,669.06 = 65,669.06 : x
  2. Step 2: Convert to fraction form
    31,014.56/65,669.06 = 65,669.06/x
  3. Step 3: Cross multiply
    31,014.56x = 65,669.06 × 65,669.06
  4. Step 4: Simplify right side
    31,014.56x = 4,312,425,769.63
  5. Step 5: Solve for x
    x = 4,312,425,769.63/31,014.56
  6. Step 6: Final answer
    x = 139,045.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.