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Finding the Third Proportional to 9,657.35 and 13,783.92

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Solution

The third proportional to 9,657.35 and 13,783.92 is: 19,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.35 : 13,783.92 = 13,783.92 : x
  2. Step 2: Convert to fraction form
    9,657.35/13,783.92 = 13,783.92/x
  3. Step 3: Cross multiply
    9,657.35x = 13,783.92 × 13,783.92
  4. Step 4: Simplify right side
    9,657.35x = 189,996,502.26
  5. Step 5: Solve for x
    x = 189,996,502.26/9,657.35
  6. Step 6: Final answer
    x = 19,673.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.