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Finding the Third Proportional to 9,473 and 14,828

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Solution

The third proportional to 9,473 and 14,828 is: 23,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473 : 14,828 = 14,828 : x
  2. Step 2: Convert to fraction form
    9,473/14,828 = 14,828/x
  3. Step 3: Cross multiply
    9,473x = 14,828 × 14,828
  4. Step 4: Simplify right side
    9,473x = 219,869,584
  5. Step 5: Solve for x
    x = 219,869,584/9,473
  6. Step 6: Final answer
    x = 23,210.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.