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Finding the Third Proportional to 9,135 and 19,727.16

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Solution

The third proportional to 9,135 and 19,727.16 is: 42,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135 : 19,727.16 = 19,727.16 : x
  2. Step 2: Convert to fraction form
    9,135/19,727.16 = 19,727.16/x
  3. Step 3: Cross multiply
    9,135x = 19,727.16 × 19,727.16
  4. Step 4: Simplify right side
    9,135x = 389,160,693.71
  5. Step 5: Solve for x
    x = 389,160,693.71/9,135
  6. Step 6: Final answer
    x = 42,601.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.