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Finding the Third Proportional to 15,731.30 and 24,303.80

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Solution

The third proportional to 15,731.30 and 24,303.80 is: 37,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.30 : 24,303.80 = 24,303.80 : x
  2. Step 2: Convert to fraction form
    15,731.30/24,303.80 = 24,303.80/x
  3. Step 3: Cross multiply
    15,731.30x = 24,303.80 × 24,303.80
  4. Step 4: Simplify right side
    15,731.30x = 590,674,542.54
  5. Step 5: Solve for x
    x = 590,674,542.54/15,731.30
  6. Step 6: Final answer
    x = 37,547.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.