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Finding the Third Proportional to 14,394 and 23,116.50

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Solution

The third proportional to 14,394 and 23,116.50 is: 37,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 23,116.50 = 23,116.50 : x
  2. Step 2: Convert to fraction form
    14,394/23,116.50 = 23,116.50/x
  3. Step 3: Cross multiply
    14,394x = 23,116.50 × 23,116.50
  4. Step 4: Simplify right side
    14,394x = 534,372,572.25
  5. Step 5: Solve for x
    x = 534,372,572.25/14,394
  6. Step 6: Final answer
    x = 37,124.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.