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Finding the Third Proportional to 14,582 and 22,683

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Solution

The third proportional to 14,582 and 22,683 is: 35,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 22,683 = 22,683 : x
  2. Step 2: Convert to fraction form
    14,582/22,683 = 22,683/x
  3. Step 3: Cross multiply
    14,582x = 22,683 × 22,683
  4. Step 4: Simplify right side
    14,582x = 514,518,489
  5. Step 5: Solve for x
    x = 514,518,489/14,582
  6. Step 6: Final answer
    x = 35,284.49

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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.