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Finding the Third Proportional to 14,127.75 and 24,062.06

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Solution

The third proportional to 14,127.75 and 24,062.06 is: 40,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.75 : 24,062.06 = 24,062.06 : x
  2. Step 2: Convert to fraction form
    14,127.75/24,062.06 = 24,062.06/x
  3. Step 3: Cross multiply
    14,127.75x = 24,062.06 × 24,062.06
  4. Step 4: Simplify right side
    14,127.75x = 578,982,851.75
  5. Step 5: Solve for x
    x = 578,982,851.75/14,127.75
  6. Step 6: Final answer
    x = 40,981.96

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.