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Finding the Third Proportional to 14,434.08 and 31,678.01

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Solution

The third proportional to 14,434.08 and 31,678.01 is: 69,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.08 : 31,678.01 = 31,678.01 : x
  2. Step 2: Convert to fraction form
    14,434.08/31,678.01 = 31,678.01/x
  3. Step 3: Cross multiply
    14,434.08x = 31,678.01 × 31,678.01
  4. Step 4: Simplify right side
    14,434.08x = 1,003,496,550.20
  5. Step 5: Solve for x
    x = 1,003,496,550.20/14,434.08
  6. Step 6: Final answer
    x = 69,522.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.