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Finding the Third Proportional to 9,700 and 14,511

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Solution

The third proportional to 9,700 and 14,511 is: 21,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 14,511 = 14,511 : x
  2. Step 2: Convert to fraction form
    9,700/14,511 = 14,511/x
  3. Step 3: Cross multiply
    9,700x = 14,511 × 14,511
  4. Step 4: Simplify right side
    9,700x = 210,569,121
  5. Step 5: Solve for x
    x = 210,569,121/9,700
  6. Step 6: Final answer
    x = 21,708.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.