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Finding the Third Proportional to 11,358 and 14,971.50

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Solution

The third proportional to 11,358 and 14,971.50 is: 19,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358 : 14,971.50 = 14,971.50 : x
  2. Step 2: Convert to fraction form
    11,358/14,971.50 = 14,971.50/x
  3. Step 3: Cross multiply
    11,358x = 14,971.50 × 14,971.50
  4. Step 4: Simplify right side
    11,358x = 224,145,812.25
  5. Step 5: Solve for x
    x = 224,145,812.25/11,358
  6. Step 6: Final answer
    x = 19,734.62

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.