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Finding the Third Proportional to 19,602.75 and 29,864.75

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Solution

The third proportional to 19,602.75 and 29,864.75 is: 45,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.75 : 29,864.75 = 29,864.75 : x
  2. Step 2: Convert to fraction form
    19,602.75/29,864.75 = 29,864.75/x
  3. Step 3: Cross multiply
    19,602.75x = 29,864.75 × 29,864.75
  4. Step 4: Simplify right side
    19,602.75x = 891,903,292.56
  5. Step 5: Solve for x
    x = 891,903,292.56/19,602.75
  6. Step 6: Final answer
    x = 45,498.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.