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Finding the Third Proportional to 12,540 and 29,709

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Solution

The third proportional to 12,540 and 29,709 is: 70,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540 : 29,709 = 29,709 : x
  2. Step 2: Convert to fraction form
    12,540/29,709 = 29,709/x
  3. Step 3: Cross multiply
    12,540x = 29,709 × 29,709
  4. Step 4: Simplify right side
    12,540x = 882,624,681
  5. Step 5: Solve for x
    x = 882,624,681/12,540
  6. Step 6: Final answer
    x = 70,384.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.