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Finding the Third Proportional to 8,946 and 13,929.75

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Solution

The third proportional to 8,946 and 13,929.75 is: 21,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 13,929.75 = 13,929.75 : x
  2. Step 2: Convert to fraction form
    8,946/13,929.75 = 13,929.75/x
  3. Step 3: Cross multiply
    8,946x = 13,929.75 × 13,929.75
  4. Step 4: Simplify right side
    8,946x = 194,037,935.06
  5. Step 5: Solve for x
    x = 194,037,935.06/8,946
  6. Step 6: Final answer
    x = 21,689.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.