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Finding the Third Proportional to 35,752.50 and 70,606.50

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Solution

The third proportional to 35,752.50 and 70,606.50 is: 139,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.50 : 70,606.50 = 70,606.50 : x
  2. Step 2: Convert to fraction form
    35,752.50/70,606.50 = 70,606.50/x
  3. Step 3: Cross multiply
    35,752.50x = 70,606.50 × 70,606.50
  4. Step 4: Simplify right side
    35,752.50x = 4,985,277,842.25
  5. Step 5: Solve for x
    x = 4,985,277,842.25/35,752.50
  6. Step 6: Final answer
    x = 139,438.58

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.