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Finding the Third Proportional to 14,316 and 29,036.25

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Solution

The third proportional to 14,316 and 29,036.25 is: 58,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 29,036.25 = 29,036.25 : x
  2. Step 2: Convert to fraction form
    14,316/29,036.25 = 29,036.25/x
  3. Step 3: Cross multiply
    14,316x = 29,036.25 × 29,036.25
  4. Step 4: Simplify right side
    14,316x = 843,103,814.06
  5. Step 5: Solve for x
    x = 843,103,814.06/14,316
  6. Step 6: Final answer
    x = 58,892.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.