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Finding the Third Proportional to 29,573.12 and 64,137.55

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Solution

The third proportional to 29,573.12 and 64,137.55 is: 139,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573.12 : 64,137.55 = 64,137.55 : x
  2. Step 2: Convert to fraction form
    29,573.12/64,137.55 = 64,137.55/x
  3. Step 3: Cross multiply
    29,573.12x = 64,137.55 × 64,137.55
  4. Step 4: Simplify right side
    29,573.12x = 4,113,625,420.22
  5. Step 5: Solve for x
    x = 4,113,625,420.22/29,573.12
  6. Step 6: Final answer
    x = 139,100.14

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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.