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Finding the Third Proportional to 29,461.88 and 64,046.63

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Solution

The third proportional to 29,461.88 and 64,046.63 is: 139,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.88 : 64,046.63 = 64,046.63 : x
  2. Step 2: Convert to fraction form
    29,461.88/64,046.63 = 64,046.63/x
  3. Step 3: Cross multiply
    29,461.88x = 64,046.63 × 64,046.63
  4. Step 4: Simplify right side
    29,461.88x = 4,101,970,173.89
  5. Step 5: Solve for x
    x = 4,101,970,173.89/29,461.88
  6. Step 6: Final answer
    x = 139,229.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.