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Finding the Third Proportional to 14,283.84 and 21,710.53

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Solution

The third proportional to 14,283.84 and 21,710.53 is: 32,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.84 : 21,710.53 = 21,710.53 : x
  2. Step 2: Convert to fraction form
    14,283.84/21,710.53 = 21,710.53/x
  3. Step 3: Cross multiply
    14,283.84x = 21,710.53 × 21,710.53
  4. Step 4: Simplify right side
    14,283.84x = 471,347,167.16
  5. Step 5: Solve for x
    x = 471,347,167.16/14,283.84
  6. Step 6: Final answer
    x = 32,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.