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Finding the Third Proportional to 13,064.06 and 19,625.63

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Solution

The third proportional to 13,064.06 and 19,625.63 is: 29,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.06 : 19,625.63 = 19,625.63 : x
  2. Step 2: Convert to fraction form
    13,064.06/19,625.63 = 19,625.63/x
  3. Step 3: Cross multiply
    13,064.06x = 19,625.63 × 19,625.63
  4. Step 4: Simplify right side
    13,064.06x = 385,165,156.64
  5. Step 5: Solve for x
    x = 385,165,156.64/13,064.06
  6. Step 6: Final answer
    x = 29,482.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.