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Finding the Third Proportional to 19,581.75 and 42,916.50

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Solution

The third proportional to 19,581.75 and 42,916.50 is: 94,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 42,916.50 = 42,916.50 : x
  2. Step 2: Convert to fraction form
    19,581.75/42,916.50 = 42,916.50/x
  3. Step 3: Cross multiply
    19,581.75x = 42,916.50 × 42,916.50
  4. Step 4: Simplify right side
    19,581.75x = 1,841,825,972.25
  5. Step 5: Solve for x
    x = 1,841,825,972.25/19,581.75
  6. Step 6: Final answer
    x = 94,058.29

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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.