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Finding the Third Proportional to 14,410.13 and 31,442.63

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Solution

The third proportional to 14,410.13 and 31,442.63 is: 68,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.13 : 31,442.63 = 31,442.63 : x
  2. Step 2: Convert to fraction form
    14,410.13/31,442.63 = 31,442.63/x
  3. Step 3: Cross multiply
    14,410.13x = 31,442.63 × 31,442.63
  4. Step 4: Simplify right side
    14,410.13x = 988,638,666.89
  5. Step 5: Solve for x
    x = 988,638,666.89/14,410.13
  6. Step 6: Final answer
    x = 68,607.22

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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.