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Finding the Third Proportional to 14,700 and 31,726

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Solution

The third proportional to 14,700 and 31,726 is: 68,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700 : 31,726 = 31,726 : x
  2. Step 2: Convert to fraction form
    14,700/31,726 = 31,726/x
  3. Step 3: Cross multiply
    14,700x = 31,726 × 31,726
  4. Step 4: Simplify right side
    14,700x = 1,006,539,076
  5. Step 5: Solve for x
    x = 1,006,539,076/14,700
  6. Step 6: Final answer
    x = 68,472.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.