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Finding the Third Proportional to 9,203.63 and 19,664.02

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Solution

The third proportional to 9,203.63 and 19,664.02 is: 42,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 19,664.02 = 19,664.02 : x
  2. Step 2: Convert to fraction form
    9,203.63/19,664.02 = 19,664.02/x
  3. Step 3: Cross multiply
    9,203.63x = 19,664.02 × 19,664.02
  4. Step 4: Simplify right side
    9,203.63x = 386,673,510.50
  5. Step 5: Solve for x
    x = 386,673,510.50/9,203.63
  6. Step 6: Final answer
    x = 42,013.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.