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Finding the Third Proportional to 62,982 and 97,515.50

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Solution

The third proportional to 62,982 and 97,515.50 is: 150,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982 : 97,515.50 = 97,515.50 : x
  2. Step 2: Convert to fraction form
    62,982/97,515.50 = 97,515.50/x
  3. Step 3: Cross multiply
    62,982x = 97,515.50 × 97,515.50
  4. Step 4: Simplify right side
    62,982x = 9,509,272,740.25
  5. Step 5: Solve for x
    x = 9,509,272,740.25/62,982
  6. Step 6: Final answer
    x = 150,983.98

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Why These Related Problems?

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