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Finding the Third Proportional to 15,953.63 and 24,488.16

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Solution

The third proportional to 15,953.63 and 24,488.16 is: 37,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.63 : 24,488.16 = 24,488.16 : x
  2. Step 2: Convert to fraction form
    15,953.63/24,488.16 = 24,488.16/x
  3. Step 3: Cross multiply
    15,953.63x = 24,488.16 × 24,488.16
  4. Step 4: Simplify right side
    15,953.63x = 599,669,796.52
  5. Step 5: Solve for x
    x = 599,669,796.52/15,953.63
  6. Step 6: Final answer
    x = 37,588.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.