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Finding the Third Proportional to 35,495.63 and 75,916.31

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Solution

The third proportional to 35,495.63 and 75,916.31 is: 162,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495.63 : 75,916.31 = 75,916.31 : x
  2. Step 2: Convert to fraction form
    35,495.63/75,916.31 = 75,916.31/x
  3. Step 3: Cross multiply
    35,495.63x = 75,916.31 × 75,916.31
  4. Step 4: Simplify right side
    35,495.63x = 5,763,286,503.60
  5. Step 5: Solve for x
    x = 5,763,286,503.60/35,495.63
  6. Step 6: Final answer
    x = 162,366.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.