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Finding the Third Proportional to 23,176.13 and 31,929.19

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Solution

The third proportional to 23,176.13 and 31,929.19 is: 43,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 31,929.19 = 31,929.19 : x
  2. Step 2: Convert to fraction form
    23,176.13/31,929.19 = 31,929.19/x
  3. Step 3: Cross multiply
    23,176.13x = 31,929.19 × 31,929.19
  4. Step 4: Simplify right side
    23,176.13x = 1,019,473,014.41
  5. Step 5: Solve for x
    x = 1,019,473,014.41/23,176.13
  6. Step 6: Final answer
    x = 43,988.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.