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Finding the Third Proportional to 7,509 and 16,414.50

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Solution

The third proportional to 7,509 and 16,414.50 is: 35,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 16,414.50 = 16,414.50 : x
  2. Step 2: Convert to fraction form
    7,509/16,414.50 = 16,414.50/x
  3. Step 3: Cross multiply
    7,509x = 16,414.50 × 16,414.50
  4. Step 4: Simplify right side
    7,509x = 269,435,810.25
  5. Step 5: Solve for x
    x = 269,435,810.25/7,509
  6. Step 6: Final answer
    x = 35,881.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.