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Finding the Third Proportional to 4,971.50 and 10,899.88

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Solution

The third proportional to 4,971.50 and 10,899.88 is: 23,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.50 : 10,899.88 = 10,899.88 : x
  2. Step 2: Convert to fraction form
    4,971.50/10,899.88 = 10,899.88/x
  3. Step 3: Cross multiply
    4,971.50x = 10,899.88 × 10,899.88
  4. Step 4: Simplify right side
    4,971.50x = 118,807,275.02
  5. Step 5: Solve for x
    x = 118,807,275.02/4,971.50
  6. Step 6: Final answer
    x = 23,897.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.