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Finding the Third Proportional to 16,675.88 and 25,970.63

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Solution

The third proportional to 16,675.88 and 25,970.63 is: 40,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.88 : 25,970.63 = 25,970.63 : x
  2. Step 2: Convert to fraction form
    16,675.88/25,970.63 = 25,970.63/x
  3. Step 3: Cross multiply
    16,675.88x = 25,970.63 × 25,970.63
  4. Step 4: Simplify right side
    16,675.88x = 674,473,362.89
  5. Step 5: Solve for x
    x = 674,473,362.89/16,675.88
  6. Step 6: Final answer
    x = 40,446.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.