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Finding the Third Proportional to 62,582.50 and 97,035

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Solution

The third proportional to 62,582.50 and 97,035 is: 150,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,582.50 : 97,035 = 97,035 : x
  2. Step 2: Convert to fraction form
    62,582.50/97,035 = 97,035/x
  3. Step 3: Cross multiply
    62,582.50x = 97,035 × 97,035
  4. Step 4: Simplify right side
    62,582.50x = 9,415,791,225
  5. Step 5: Solve for x
    x = 9,415,791,225/62,582.50
  6. Step 6: Final answer
    x = 150,454.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.