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Finding the Third Proportional to 15,204.38 and 23,447.81

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Solution

The third proportional to 15,204.38 and 23,447.81 is: 36,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.38 : 23,447.81 = 23,447.81 : x
  2. Step 2: Convert to fraction form
    15,204.38/23,447.81 = 23,447.81/x
  3. Step 3: Cross multiply
    15,204.38x = 23,447.81 × 23,447.81
  4. Step 4: Simplify right side
    15,204.38x = 549,799,911.04
  5. Step 5: Solve for x
    x = 549,799,911.04/15,204.38
  6. Step 6: Final answer
    x = 36,160.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.