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Finding the Third Proportional to 9,423 and 25,633.13

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Solution

The third proportional to 9,423 and 25,633.13 is: 69,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423 : 25,633.13 = 25,633.13 : x
  2. Step 2: Convert to fraction form
    9,423/25,633.13 = 25,633.13/x
  3. Step 3: Cross multiply
    9,423x = 25,633.13 × 25,633.13
  4. Step 4: Simplify right side
    9,423x = 657,057,097.27
  5. Step 5: Solve for x
    x = 657,057,097.27/9,423
  6. Step 6: Final answer
    x = 69,729.08

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.