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Finding the Third Proportional to 15,931.69 and 34,048.69

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Solution

The third proportional to 15,931.69 and 34,048.69 is: 72,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.69 : 34,048.69 = 34,048.69 : x
  2. Step 2: Convert to fraction form
    15,931.69/34,048.69 = 34,048.69/x
  3. Step 3: Cross multiply
    15,931.69x = 34,048.69 × 34,048.69
  4. Step 4: Simplify right side
    15,931.69x = 1,159,313,120.47
  5. Step 5: Solve for x
    x = 1,159,313,120.47/15,931.69
  6. Step 6: Final answer
    x = 72,767.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.