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Finding the Third Proportional to 13,705.88 and 29,597.63

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Solution

The third proportional to 13,705.88 and 29,597.63 is: 63,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.88 : 29,597.63 = 29,597.63 : x
  2. Step 2: Convert to fraction form
    13,705.88/29,597.63 = 29,597.63/x
  3. Step 3: Cross multiply
    13,705.88x = 29,597.63 × 29,597.63
  4. Step 4: Simplify right side
    13,705.88x = 876,019,405.64
  5. Step 5: Solve for x
    x = 876,019,405.64/13,705.88
  6. Step 6: Final answer
    x = 63,915.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.