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Finding the Third Proportional to 10,931.06 and 23,534.72

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Solution

The third proportional to 10,931.06 and 23,534.72 is: 50,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.06 : 23,534.72 = 23,534.72 : x
  2. Step 2: Convert to fraction form
    10,931.06/23,534.72 = 23,534.72/x
  3. Step 3: Cross multiply
    10,931.06x = 23,534.72 × 23,534.72
  4. Step 4: Simplify right side
    10,931.06x = 553,882,986.64
  5. Step 5: Solve for x
    x = 553,882,986.64/10,931.06
  6. Step 6: Final answer
    x = 50,670.55

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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.