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Finding the Third Proportional to 7,707.66 and 15,962.06

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Solution

The third proportional to 7,707.66 and 15,962.06 is: 33,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 15,962.06 = 15,962.06 : x
  2. Step 2: Convert to fraction form
    7,707.66/15,962.06 = 15,962.06/x
  3. Step 3: Cross multiply
    7,707.66x = 15,962.06 × 15,962.06
  4. Step 4: Simplify right side
    7,707.66x = 254,787,439.25
  5. Step 5: Solve for x
    x = 254,787,439.25/7,707.66
  6. Step 6: Final answer
    x = 33,056.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.