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Finding the Third Proportional to 13,715.06 and 29,511.38

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Solution

The third proportional to 13,715.06 and 29,511.38 is: 63,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.06 : 29,511.38 = 29,511.38 : x
  2. Step 2: Convert to fraction form
    13,715.06/29,511.38 = 29,511.38/x
  3. Step 3: Cross multiply
    13,715.06x = 29,511.38 × 29,511.38
  4. Step 4: Simplify right side
    13,715.06x = 870,921,254.39
  5. Step 5: Solve for x
    x = 870,921,254.39/13,715.06
  6. Step 6: Final answer
    x = 63,501.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.