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Finding the Third Proportional to 10,598.06 and 22,835.81

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Solution

The third proportional to 10,598.06 and 22,835.81 is: 49,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.06 : 22,835.81 = 22,835.81 : x
  2. Step 2: Convert to fraction form
    10,598.06/22,835.81 = 22,835.81/x
  3. Step 3: Cross multiply
    10,598.06x = 22,835.81 × 22,835.81
  4. Step 4: Simplify right side
    10,598.06x = 521,474,332.54
  5. Step 5: Solve for x
    x = 521,474,332.54/10,598.06
  6. Step 6: Final answer
    x = 49,204.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.