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Finding the Third Proportional to 29,635.88 and 64,597.50

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Solution

The third proportional to 29,635.88 and 64,597.50 is: 140,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635.88 : 64,597.50 = 64,597.50 : x
  2. Step 2: Convert to fraction form
    29,635.88/64,597.50 = 64,597.50/x
  3. Step 3: Cross multiply
    29,635.88x = 64,597.50 × 64,597.50
  4. Step 4: Simplify right side
    29,635.88x = 4,172,837,006.25
  5. Step 5: Solve for x
    x = 4,172,837,006.25/29,635.88
  6. Step 6: Final answer
    x = 140,803.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.