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Finding the Third Proportional to 6,657.29 and 14,567.36

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Solution

The third proportional to 6,657.29 and 14,567.36 is: 31,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.29 : 14,567.36 = 14,567.36 : x
  2. Step 2: Convert to fraction form
    6,657.29/14,567.36 = 14,567.36/x
  3. Step 3: Cross multiply
    6,657.29x = 14,567.36 × 14,567.36
  4. Step 4: Simplify right side
    6,657.29x = 212,208,080.08
  5. Step 5: Solve for x
    x = 212,208,080.08/6,657.29
  6. Step 6: Final answer
    x = 31,876.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.