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Finding the Third Proportional to 29,491.50 and 64,166.25

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Solution

The third proportional to 29,491.50 and 64,166.25 is: 139,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,491.50 : 64,166.25 = 64,166.25 : x
  2. Step 2: Convert to fraction form
    29,491.50/64,166.25 = 64,166.25/x
  3. Step 3: Cross multiply
    29,491.50x = 64,166.25 × 64,166.25
  4. Step 4: Simplify right side
    29,491.50x = 4,117,307,639.06
  5. Step 5: Solve for x
    x = 4,117,307,639.06/29,491.50
  6. Step 6: Final answer
    x = 139,609.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.