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Finding the Third Proportional to 29,881.13 and 65,029.50

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Solution

The third proportional to 29,881.13 and 65,029.50 is: 141,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.13 : 65,029.50 = 65,029.50 : x
  2. Step 2: Convert to fraction form
    29,881.13/65,029.50 = 65,029.50/x
  3. Step 3: Cross multiply
    29,881.13x = 65,029.50 × 65,029.50
  4. Step 4: Simplify right side
    29,881.13x = 4,228,835,870.25
  5. Step 5: Solve for x
    x = 4,228,835,870.25/29,881.13
  6. Step 6: Final answer
    x = 141,521.98

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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.