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Finding the Third Proportional to 9,729 and 15,095.25

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Solution

The third proportional to 9,729 and 15,095.25 is: 23,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 15,095.25 = 15,095.25 : x
  2. Step 2: Convert to fraction form
    9,729/15,095.25 = 15,095.25/x
  3. Step 3: Cross multiply
    9,729x = 15,095.25 × 15,095.25
  4. Step 4: Simplify right side
    9,729x = 227,866,572.56
  5. Step 5: Solve for x
    x = 227,866,572.56/9,729
  6. Step 6: Final answer
    x = 23,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.