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Finding the Third Proportional to 10,931.63 and 23,979.38

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Solution

The third proportional to 10,931.63 and 23,979.38 is: 52,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.63 : 23,979.38 = 23,979.38 : x
  2. Step 2: Convert to fraction form
    10,931.63/23,979.38 = 23,979.38/x
  3. Step 3: Cross multiply
    10,931.63x = 23,979.38 × 23,979.38
  4. Step 4: Simplify right side
    10,931.63x = 575,010,425.39
  5. Step 5: Solve for x
    x = 575,010,425.39/10,931.63
  6. Step 6: Final answer
    x = 52,600.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.