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Finding the Third Proportional to 35,373.50 and 77,065

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Solution

The third proportional to 35,373.50 and 77,065 is: 167,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,373.50 : 77,065 = 77,065 : x
  2. Step 2: Convert to fraction form
    35,373.50/77,065 = 77,065/x
  3. Step 3: Cross multiply
    35,373.50x = 77,065 × 77,065
  4. Step 4: Simplify right side
    35,373.50x = 5,939,014,225
  5. Step 5: Solve for x
    x = 5,939,014,225/35,373.50
  6. Step 6: Final answer
    x = 167,894.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.