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Finding the Third Proportional to 14,982 and 21,580.50

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Solution

The third proportional to 14,982 and 21,580.50 is: 31,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 21,580.50 = 21,580.50 : x
  2. Step 2: Convert to fraction form
    14,982/21,580.50 = 21,580.50/x
  3. Step 3: Cross multiply
    14,982x = 21,580.50 × 21,580.50
  4. Step 4: Simplify right side
    14,982x = 465,717,980.25
  5. Step 5: Solve for x
    x = 465,717,980.25/14,982
  6. Step 6: Final answer
    x = 31,085.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.