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Finding the Third Proportional to 7,501.13 and 16,414.13

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Solution

The third proportional to 7,501.13 and 16,414.13 is: 35,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.13 : 16,414.13 = 16,414.13 : x
  2. Step 2: Convert to fraction form
    7,501.13/16,414.13 = 16,414.13/x
  3. Step 3: Cross multiply
    7,501.13x = 16,414.13 × 16,414.13
  4. Step 4: Simplify right side
    7,501.13x = 269,423,499.52
  5. Step 5: Solve for x
    x = 269,423,499.52/7,501.13
  6. Step 6: Final answer
    x = 35,917.75

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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.