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Finding the Third Proportional to 17,663.06 and 31,460.91

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Solution

The third proportional to 17,663.06 and 31,460.91 is: 56,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.06 : 31,460.91 = 31,460.91 : x
  2. Step 2: Convert to fraction form
    17,663.06/31,460.91 = 31,460.91/x
  3. Step 3: Cross multiply
    17,663.06x = 31,460.91 × 31,460.91
  4. Step 4: Simplify right side
    17,663.06x = 989,788,622.07
  5. Step 5: Solve for x
    x = 989,788,622.07/17,663.06
  6. Step 6: Final answer
    x = 56,037.20

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.