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Finding the Third Proportional to 10,597.08 and 16,831.55

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Solution

The third proportional to 10,597.08 and 16,831.55 is: 26,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.08 : 16,831.55 = 16,831.55 : x
  2. Step 2: Convert to fraction form
    10,597.08/16,831.55 = 16,831.55/x
  3. Step 3: Cross multiply
    10,597.08x = 16,831.55 × 16,831.55
  4. Step 4: Simplify right side
    10,597.08x = 283,300,970.21
  5. Step 5: Solve for x
    x = 283,300,970.21/10,597.08
  6. Step 6: Final answer
    x = 26,733.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.