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Finding the Third Proportional to 14,523 and 23,026.50

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Solution

The third proportional to 14,523 and 23,026.50 is: 36,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523 : 23,026.50 = 23,026.50 : x
  2. Step 2: Convert to fraction form
    14,523/23,026.50 = 23,026.50/x
  3. Step 3: Cross multiply
    14,523x = 23,026.50 × 23,026.50
  4. Step 4: Simplify right side
    14,523x = 530,219,702.25
  5. Step 5: Solve for x
    x = 530,219,702.25/14,523
  6. Step 6: Final answer
    x = 36,508.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.