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Finding the Third Proportional to 7,400.06 and 15,484.13

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Solution

The third proportional to 7,400.06 and 15,484.13 is: 32,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.06 : 15,484.13 = 15,484.13 : x
  2. Step 2: Convert to fraction form
    7,400.06/15,484.13 = 15,484.13/x
  3. Step 3: Cross multiply
    7,400.06x = 15,484.13 × 15,484.13
  4. Step 4: Simplify right side
    7,400.06x = 239,758,127.02
  5. Step 5: Solve for x
    x = 239,758,127.02/7,400.06
  6. Step 6: Final answer
    x = 32,399.47

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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.