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Finding the Third Proportional to 10,317.38 and 25,428.94

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Solution

The third proportional to 10,317.38 and 25,428.94 is: 62,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.38 : 25,428.94 = 25,428.94 : x
  2. Step 2: Convert to fraction form
    10,317.38/25,428.94 = 25,428.94/x
  3. Step 3: Cross multiply
    10,317.38x = 25,428.94 × 25,428.94
  4. Step 4: Simplify right side
    10,317.38x = 646,630,862.38
  5. Step 5: Solve for x
    x = 646,630,862.38/10,317.38
  6. Step 6: Final answer
    x = 62,673.97

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.