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Finding the Third Proportional to 29,913 and 65,259.50

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Solution

The third proportional to 29,913 and 65,259.50 is: 142,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913 : 65,259.50 = 65,259.50 : x
  2. Step 2: Convert to fraction form
    29,913/65,259.50 = 65,259.50/x
  3. Step 3: Cross multiply
    29,913x = 65,259.50 × 65,259.50
  4. Step 4: Simplify right side
    29,913x = 4,258,802,340.25
  5. Step 5: Solve for x
    x = 4,258,802,340.25/29,913
  6. Step 6: Final answer
    x = 142,372.96

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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.