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Finding the Third Proportional to 42,892.50 and 66,283.50

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Solution

The third proportional to 42,892.50 and 66,283.50 is: 102,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,892.50 : 66,283.50 = 66,283.50 : x
  2. Step 2: Convert to fraction form
    42,892.50/66,283.50 = 66,283.50/x
  3. Step 3: Cross multiply
    42,892.50x = 66,283.50 × 66,283.50
  4. Step 4: Simplify right side
    42,892.50x = 4,393,502,372.25
  5. Step 5: Solve for x
    x = 4,393,502,372.25/42,892.50
  6. Step 6: Final answer
    x = 102,430.55

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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.