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Finding the Third Proportional to 4,894.88 and 7,457.06

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Solution

The third proportional to 4,894.88 and 7,457.06 is: 11,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.88 : 7,457.06 = 7,457.06 : x
  2. Step 2: Convert to fraction form
    4,894.88/7,457.06 = 7,457.06/x
  3. Step 3: Cross multiply
    4,894.88x = 7,457.06 × 7,457.06
  4. Step 4: Simplify right side
    4,894.88x = 55,607,781.13
  5. Step 5: Solve for x
    x = 55,607,781.13/4,894.88
  6. Step 6: Final answer
    x = 11,360.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.