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Finding the Third Proportional to 12,045 and 29,014.50

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Solution

The third proportional to 12,045 and 29,014.50 is: 69,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045 : 29,014.50 = 29,014.50 : x
  2. Step 2: Convert to fraction form
    12,045/29,014.50 = 29,014.50/x
  3. Step 3: Cross multiply
    12,045x = 29,014.50 × 29,014.50
  4. Step 4: Simplify right side
    12,045x = 841,841,210.25
  5. Step 5: Solve for x
    x = 841,841,210.25/12,045
  6. Step 6: Final answer
    x = 69,891.34

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.