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Finding the Third Proportional to 12,501.21 and 29,510.26

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Solution

The third proportional to 12,501.21 and 29,510.26 is: 69,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.21 : 29,510.26 = 29,510.26 : x
  2. Step 2: Convert to fraction form
    12,501.21/29,510.26 = 29,510.26/x
  3. Step 3: Cross multiply
    12,501.21x = 29,510.26 × 29,510.26
  4. Step 4: Simplify right side
    12,501.21x = 870,855,546.71
  5. Step 5: Solve for x
    x = 870,855,546.71/12,501.21
  6. Step 6: Final answer
    x = 69,661.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.