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Finding the Third Proportional to 13,510.13 and 29,485.69

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Solution

The third proportional to 13,510.13 and 29,485.69 is: 64,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.13 : 29,485.69 = 29,485.69 : x
  2. Step 2: Convert to fraction form
    13,510.13/29,485.69 = 29,485.69/x
  3. Step 3: Cross multiply
    13,510.13x = 29,485.69 × 29,485.69
  4. Step 4: Simplify right side
    13,510.13x = 869,405,767.35
  5. Step 5: Solve for x
    x = 869,405,767.35/13,510.13
  6. Step 6: Final answer
    x = 64,352.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.