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Finding the Third Proportional to 30,048.47 and 70,935.75

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Solution

The third proportional to 30,048.47 and 70,935.75 is: 167,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048.47 : 70,935.75 = 70,935.75 : x
  2. Step 2: Convert to fraction form
    30,048.47/70,935.75 = 70,935.75/x
  3. Step 3: Cross multiply
    30,048.47x = 70,935.75 × 70,935.75
  4. Step 4: Simplify right side
    30,048.47x = 5,031,880,628.06
  5. Step 5: Solve for x
    x = 5,031,880,628.06/30,048.47
  6. Step 6: Final answer
    x = 167,458.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.