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Finding the Third Proportional to 65,862.50 and 72,018.50

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Solution

The third proportional to 65,862.50 and 72,018.50 is: 78,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862.50 : 72,018.50 = 72,018.50 : x
  2. Step 2: Convert to fraction form
    65,862.50/72,018.50 = 72,018.50/x
  3. Step 3: Cross multiply
    65,862.50x = 72,018.50 × 72,018.50
  4. Step 4: Simplify right side
    65,862.50x = 5,186,664,342.25
  5. Step 5: Solve for x
    x = 5,186,664,342.25/65,862.50
  6. Step 6: Final answer
    x = 78,749.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.