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Finding the Third Proportional to 29,317.50 and 64,467

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Solution

The third proportional to 29,317.50 and 64,467 is: 141,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,317.50 : 64,467 = 64,467 : x
  2. Step 2: Convert to fraction form
    29,317.50/64,467 = 64,467/x
  3. Step 3: Cross multiply
    29,317.50x = 64,467 × 64,467
  4. Step 4: Simplify right side
    29,317.50x = 4,155,994,089
  5. Step 5: Solve for x
    x = 4,155,994,089/29,317.50
  6. Step 6: Final answer
    x = 141,758.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.