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Finding the Third Proportional to 14,590 and 21,396

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Solution

The third proportional to 14,590 and 21,396 is: 31,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590 : 21,396 = 21,396 : x
  2. Step 2: Convert to fraction form
    14,590/21,396 = 21,396/x
  3. Step 3: Cross multiply
    14,590x = 21,396 × 21,396
  4. Step 4: Simplify right side
    14,590x = 457,788,816
  5. Step 5: Solve for x
    x = 457,788,816/14,590
  6. Step 6: Final answer
    x = 31,376.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.