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Finding the Third Proportional to 28,707.50 and 61,567

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Solution

The third proportional to 28,707.50 and 61,567 is: 132,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,707.50 : 61,567 = 61,567 : x
  2. Step 2: Convert to fraction form
    28,707.50/61,567 = 61,567/x
  3. Step 3: Cross multiply
    28,707.50x = 61,567 × 61,567
  4. Step 4: Simplify right side
    28,707.50x = 3,790,495,489
  5. Step 5: Solve for x
    x = 3,790,495,489/28,707.50
  6. Step 6: Final answer
    x = 132,038.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.