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Finding the Third Proportional to 13,705.45 and 29,973.80

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Solution

The third proportional to 13,705.45 and 29,973.80 is: 65,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.45 : 29,973.80 = 29,973.80 : x
  2. Step 2: Convert to fraction form
    13,705.45/29,973.80 = 29,973.80/x
  3. Step 3: Cross multiply
    13,705.45x = 29,973.80 × 29,973.80
  4. Step 4: Simplify right side
    13,705.45x = 898,428,499.10
  5. Step 5: Solve for x
    x = 898,428,499.10/13,705.45
  6. Step 6: Final answer
    x = 65,552.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.