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Finding the Third Proportional to 35,937.70 and 78,795.28

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Solution

The third proportional to 35,937.70 and 78,795.28 is: 172,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,937.70 : 78,795.28 = 78,795.28 : x
  2. Step 2: Convert to fraction form
    35,937.70/78,795.28 = 78,795.28/x
  3. Step 3: Cross multiply
    35,937.70x = 78,795.28 × 78,795.28
  4. Step 4: Simplify right side
    35,937.70x = 6,208,696,347.27
  5. Step 5: Solve for x
    x = 6,208,696,347.27/35,937.70
  6. Step 6: Final answer
    x = 172,762.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.