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Finding the Third Proportional to 16,088.63 and 23,896.69

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Solution

The third proportional to 16,088.63 and 23,896.69 is: 35,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.63 : 23,896.69 = 23,896.69 : x
  2. Step 2: Convert to fraction form
    16,088.63/23,896.69 = 23,896.69/x
  3. Step 3: Cross multiply
    16,088.63x = 23,896.69 × 23,896.69
  4. Step 4: Simplify right side
    16,088.63x = 571,051,673.47
  5. Step 5: Solve for x
    x = 571,051,673.47/16,088.63
  6. Step 6: Final answer
    x = 35,494.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.