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Finding the Third Proportional to 3,485.53 and 7,457.06

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Solution

The third proportional to 3,485.53 and 7,457.06 is: 15,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 7,457.06 = 7,457.06 : x
  2. Step 2: Convert to fraction form
    3,485.53/7,457.06 = 7,457.06/x
  3. Step 3: Cross multiply
    3,485.53x = 7,457.06 × 7,457.06
  4. Step 4: Simplify right side
    3,485.53x = 55,607,781.13
  5. Step 5: Solve for x
    x = 55,607,781.13/3,485.53
  6. Step 6: Final answer
    x = 15,953.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.