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Finding the Third Proportional to 52,581 and 70,851.50

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Solution

The third proportional to 52,581 and 70,851.50 is: 95,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581 : 70,851.50 = 70,851.50 : x
  2. Step 2: Convert to fraction form
    52,581/70,851.50 = 70,851.50/x
  3. Step 3: Cross multiply
    52,581x = 70,851.50 × 70,851.50
  4. Step 4: Simplify right side
    52,581x = 5,019,935,052.25
  5. Step 5: Solve for x
    x = 5,019,935,052.25/52,581
  6. Step 6: Final answer
    x = 95,470.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.