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Finding the Third Proportional to 42,430.50 and 93,015

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Solution

The third proportional to 42,430.50 and 93,015 is: 203,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430.50 : 93,015 = 93,015 : x
  2. Step 2: Convert to fraction form
    42,430.50/93,015 = 93,015/x
  3. Step 3: Cross multiply
    42,430.50x = 93,015 × 93,015
  4. Step 4: Simplify right side
    42,430.50x = 8,651,790,225
  5. Step 5: Solve for x
    x = 8,651,790,225/42,430.50
  6. Step 6: Final answer
    x = 203,904.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.