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Finding the Third Proportional to 9,561 and 14,767.50

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Solution

The third proportional to 9,561 and 14,767.50 is: 22,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 14,767.50 = 14,767.50 : x
  2. Step 2: Convert to fraction form
    9,561/14,767.50 = 14,767.50/x
  3. Step 3: Cross multiply
    9,561x = 14,767.50 × 14,767.50
  4. Step 4: Simplify right side
    9,561x = 218,079,056.25
  5. Step 5: Solve for x
    x = 218,079,056.25/9,561
  6. Step 6: Final answer
    x = 22,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.