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Finding the Third Proportional to 28,456.50 and 43,076

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Solution

The third proportional to 28,456.50 and 43,076 is: 65,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456.50 : 43,076 = 43,076 : x
  2. Step 2: Convert to fraction form
    28,456.50/43,076 = 43,076/x
  3. Step 3: Cross multiply
    28,456.50x = 43,076 × 43,076
  4. Step 4: Simplify right side
    28,456.50x = 1,855,541,776
  5. Step 5: Solve for x
    x = 1,855,541,776/28,456.50
  6. Step 6: Final answer
    x = 65,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.