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Finding the Third Proportional to 4,666.36 and 10,061.72

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Solution

The third proportional to 4,666.36 and 10,061.72 is: 21,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.36 : 10,061.72 = 10,061.72 : x
  2. Step 2: Convert to fraction form
    4,666.36/10,061.72 = 10,061.72/x
  3. Step 3: Cross multiply
    4,666.36x = 10,061.72 × 10,061.72
  4. Step 4: Simplify right side
    4,666.36x = 101,238,184.20
  5. Step 5: Solve for x
    x = 101,238,184.20/4,666.36
  6. Step 6: Final answer
    x = 21,695.33

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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.