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Finding the Third Proportional to 24,820.50 and 53,528.50

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Solution

The third proportional to 24,820.50 and 53,528.50 is: 115,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.50 : 53,528.50 = 53,528.50 : x
  2. Step 2: Convert to fraction form
    24,820.50/53,528.50 = 53,528.50/x
  3. Step 3: Cross multiply
    24,820.50x = 53,528.50 × 53,528.50
  4. Step 4: Simplify right side
    24,820.50x = 2,865,300,312.25
  5. Step 5: Solve for x
    x = 2,865,300,312.25/24,820.50
  6. Step 6: Final answer
    x = 115,440.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.