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Finding the Third Proportional to 6,887.53 and 14,943.66

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Solution

The third proportional to 6,887.53 and 14,943.66 is: 32,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.53 : 14,943.66 = 14,943.66 : x
  2. Step 2: Convert to fraction form
    6,887.53/14,943.66 = 14,943.66/x
  3. Step 3: Cross multiply
    6,887.53x = 14,943.66 × 14,943.66
  4. Step 4: Simplify right side
    6,887.53x = 223,312,862.12
  5. Step 5: Solve for x
    x = 223,312,862.12/6,887.53
  6. Step 6: Final answer
    x = 32,422.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.