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Finding the Third Proportional to 13,527 and 31,617

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Solution

The third proportional to 13,527 and 31,617 is: 73,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 31,617 = 31,617 : x
  2. Step 2: Convert to fraction form
    13,527/31,617 = 31,617/x
  3. Step 3: Cross multiply
    13,527x = 31,617 × 31,617
  4. Step 4: Simplify right side
    13,527x = 999,634,689
  5. Step 5: Solve for x
    x = 999,634,689/13,527
  6. Step 6: Final answer
    x = 73,899.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.