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Finding the Third Proportional to 15,946.88 and 24,301.90

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Solution

The third proportional to 15,946.88 and 24,301.90 is: 37,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.88 : 24,301.90 = 24,301.90 : x
  2. Step 2: Convert to fraction form
    15,946.88/24,301.90 = 24,301.90/x
  3. Step 3: Cross multiply
    15,946.88x = 24,301.90 × 24,301.90
  4. Step 4: Simplify right side
    15,946.88x = 590,582,267.67
  5. Step 5: Solve for x
    x = 590,582,267.67/15,946.88
  6. Step 6: Final answer
    x = 37,034.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.