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Finding the Third Proportional to 15,701.75 and 34,130.38

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Solution

The third proportional to 15,701.75 and 34,130.38 is: 74,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.75 : 34,130.38 = 34,130.38 : x
  2. Step 2: Convert to fraction form
    15,701.75/34,130.38 = 34,130.38/x
  3. Step 3: Cross multiply
    15,701.75x = 34,130.38 × 34,130.38
  4. Step 4: Simplify right side
    15,701.75x = 1,164,882,497.64
  5. Step 5: Solve for x
    x = 1,164,882,497.64/15,701.75
  6. Step 6: Final answer
    x = 74,188.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.