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Finding the Third Proportional to 29,316.94 and 64,011.09

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Solution

The third proportional to 29,316.94 and 64,011.09 is: 139,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316.94 : 64,011.09 = 64,011.09 : x
  2. Step 2: Convert to fraction form
    29,316.94/64,011.09 = 64,011.09/x
  3. Step 3: Cross multiply
    29,316.94x = 64,011.09 × 64,011.09
  4. Step 4: Simplify right side
    29,316.94x = 4,097,420,123.07
  5. Step 5: Solve for x
    x = 4,097,420,123.07/29,316.94
  6. Step 6: Final answer
    x = 139,762.90

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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.