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Finding the Third Proportional to 14,532.38 and 31,047.38

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Solution

The third proportional to 14,532.38 and 31,047.38 is: 66,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.38 : 31,047.38 = 31,047.38 : x
  2. Step 2: Convert to fraction form
    14,532.38/31,047.38 = 31,047.38/x
  3. Step 3: Cross multiply
    14,532.38x = 31,047.38 × 31,047.38
  4. Step 4: Simplify right side
    14,532.38x = 963,939,494.39
  5. Step 5: Solve for x
    x = 963,939,494.39/14,532.38
  6. Step 6: Final answer
    x = 66,330.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.