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Finding the Third Proportional to 19,537 and 29,221

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Solution

The third proportional to 19,537 and 29,221 is: 43,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537 : 29,221 = 29,221 : x
  2. Step 2: Convert to fraction form
    19,537/29,221 = 29,221/x
  3. Step 3: Cross multiply
    19,537x = 29,221 × 29,221
  4. Step 4: Simplify right side
    19,537x = 853,866,841
  5. Step 5: Solve for x
    x = 853,866,841/19,537
  6. Step 6: Final answer
    x = 43,705.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.