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Finding the Third Proportional to 10,146.38 and 22,482.70

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Solution

The third proportional to 10,146.38 and 22,482.70 is: 49,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.38 : 22,482.70 = 22,482.70 : x
  2. Step 2: Convert to fraction form
    10,146.38/22,482.70 = 22,482.70/x
  3. Step 3: Cross multiply
    10,146.38x = 22,482.70 × 22,482.70
  4. Step 4: Simplify right side
    10,146.38x = 505,471,939.81
  5. Step 5: Solve for x
    x = 505,471,939.81/10,146.38
  6. Step 6: Final answer
    x = 49,817.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.