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Finding the Third Proportional to 10,678.08 and 15,606.42

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Solution

The third proportional to 10,678.08 and 15,606.42 is: 22,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.08 : 15,606.42 = 15,606.42 : x
  2. Step 2: Convert to fraction form
    10,678.08/15,606.42 = 15,606.42/x
  3. Step 3: Cross multiply
    10,678.08x = 15,606.42 × 15,606.42
  4. Step 4: Simplify right side
    10,678.08x = 243,560,403.74
  5. Step 5: Solve for x
    x = 243,560,403.74/10,678.08
  6. Step 6: Final answer
    x = 22,809.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.