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Finding the Third Proportional to 29,315.81 and 45,409.50

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Solution

The third proportional to 29,315.81 and 45,409.50 is: 70,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,315.81 : 45,409.50 = 45,409.50 : x
  2. Step 2: Convert to fraction form
    29,315.81/45,409.50 = 45,409.50/x
  3. Step 3: Cross multiply
    29,315.81x = 45,409.50 × 45,409.50
  4. Step 4: Simplify right side
    29,315.81x = 2,062,022,690.25
  5. Step 5: Solve for x
    x = 2,062,022,690.25/29,315.81
  6. Step 6: Final answer
    x = 70,338.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.