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Finding the Third Proportional to 14,012.13 and 29,322.50

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Solution

The third proportional to 14,012.13 and 29,322.50 is: 61,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.13 : 29,322.50 = 29,322.50 : x
  2. Step 2: Convert to fraction form
    14,012.13/29,322.50 = 29,322.50/x
  3. Step 3: Cross multiply
    14,012.13x = 29,322.50 × 29,322.50
  4. Step 4: Simplify right side
    14,012.13x = 859,809,006.25
  5. Step 5: Solve for x
    x = 859,809,006.25/14,012.13
  6. Step 6: Final answer
    x = 61,361.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.