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Finding the Third Proportional to 23,421.38 and 37,461.38

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Solution

The third proportional to 23,421.38 and 37,461.38 is: 59,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421.38 : 37,461.38 = 37,461.38 : x
  2. Step 2: Convert to fraction form
    23,421.38/37,461.38 = 37,461.38/x
  3. Step 3: Cross multiply
    23,421.38x = 37,461.38 × 37,461.38
  4. Step 4: Simplify right side
    23,421.38x = 1,403,354,616.89
  5. Step 5: Solve for x
    x = 1,403,354,616.89/23,421.38
  6. Step 6: Final answer
    x = 59,917.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.