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Finding the Third Proportional to 9,574.88 and 15,285.38

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Solution

The third proportional to 9,574.88 and 15,285.38 is: 24,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.88 : 15,285.38 = 15,285.38 : x
  2. Step 2: Convert to fraction form
    9,574.88/15,285.38 = 15,285.38/x
  3. Step 3: Cross multiply
    9,574.88x = 15,285.38 × 15,285.38
  4. Step 4: Simplify right side
    9,574.88x = 233,642,688.89
  5. Step 5: Solve for x
    x = 233,642,688.89/9,574.88
  6. Step 6: Final answer
    x = 24,401.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.