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Finding the Third Proportional to 28,545 and 44,545.50

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Solution

The third proportional to 28,545 and 44,545.50 is: 69,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,545 : 44,545.50 = 44,545.50 : x
  2. Step 2: Convert to fraction form
    28,545/44,545.50 = 44,545.50/x
  3. Step 3: Cross multiply
    28,545x = 44,545.50 × 44,545.50
  4. Step 4: Simplify right side
    28,545x = 1,984,301,570.25
  5. Step 5: Solve for x
    x = 1,984,301,570.25/28,545
  6. Step 6: Final answer
    x = 69,514.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.