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Finding the Third Proportional to 10,490.63 and 15,593.63

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Solution

The third proportional to 10,490.63 and 15,593.63 is: 23,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.63 : 15,593.63 = 15,593.63 : x
  2. Step 2: Convert to fraction form
    10,490.63/15,593.63 = 15,593.63/x
  3. Step 3: Cross multiply
    10,490.63x = 15,593.63 × 15,593.63
  4. Step 4: Simplify right side
    10,490.63x = 243,161,140.64
  5. Step 5: Solve for x
    x = 243,161,140.64/10,490.63
  6. Step 6: Final answer
    x = 23,178.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.