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Finding the Third Proportional to 10,405.13 and 19,585.13

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Solution

The third proportional to 10,405.13 and 19,585.13 is: 36,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.13 : 19,585.13 = 19,585.13 : x
  2. Step 2: Convert to fraction form
    10,405.13/19,585.13 = 19,585.13/x
  3. Step 3: Cross multiply
    10,405.13x = 19,585.13 × 19,585.13
  4. Step 4: Simplify right side
    10,405.13x = 383,577,121.27
  5. Step 5: Solve for x
    x = 383,577,121.27/10,405.13
  6. Step 6: Final answer
    x = 36,864.25

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.