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Finding the Third Proportional to 29,835.84 and 65,412.56

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Solution

The third proportional to 29,835.84 and 65,412.56 is: 143,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.84 : 65,412.56 = 65,412.56 : x
  2. Step 2: Convert to fraction form
    29,835.84/65,412.56 = 65,412.56/x
  3. Step 3: Cross multiply
    29,835.84x = 65,412.56 × 65,412.56
  4. Step 4: Simplify right side
    29,835.84x = 4,278,803,332.82
  5. Step 5: Solve for x
    x = 4,278,803,332.82/29,835.84
  6. Step 6: Final answer
    x = 143,411.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.