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Finding the Third Proportional to 29,403 and 64,093.50

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Solution

The third proportional to 29,403 and 64,093.50 is: 139,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403 : 64,093.50 = 64,093.50 : x
  2. Step 2: Convert to fraction form
    29,403/64,093.50 = 64,093.50/x
  3. Step 3: Cross multiply
    29,403x = 64,093.50 × 64,093.50
  4. Step 4: Simplify right side
    29,403x = 4,107,976,742.25
  5. Step 5: Solve for x
    x = 4,107,976,742.25/29,403
  6. Step 6: Final answer
    x = 139,712.84

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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.