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Finding the Third Proportional to 44,026.50 and 95,070

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Solution

The third proportional to 44,026.50 and 95,070 is: 205,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,026.50 : 95,070 = 95,070 : x
  2. Step 2: Convert to fraction form
    44,026.50/95,070 = 95,070/x
  3. Step 3: Cross multiply
    44,026.50x = 95,070 × 95,070
  4. Step 4: Simplify right side
    44,026.50x = 9,038,304,900
  5. Step 5: Solve for x
    x = 9,038,304,900/44,026.50
  6. Step 6: Final answer
    x = 205,292.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.