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Finding the Third Proportional to 9,527 and 14,480.50

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Solution

The third proportional to 9,527 and 14,480.50 is: 22,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527 : 14,480.50 = 14,480.50 : x
  2. Step 2: Convert to fraction form
    9,527/14,480.50 = 14,480.50/x
  3. Step 3: Cross multiply
    9,527x = 14,480.50 × 14,480.50
  4. Step 4: Simplify right side
    9,527x = 209,684,880.25
  5. Step 5: Solve for x
    x = 209,684,880.25/9,527
  6. Step 6: Final answer
    x = 22,009.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.