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Finding the Third Proportional to 35,037.56 and 74,646.56

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Solution

The third proportional to 35,037.56 and 74,646.56 is: 159,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,037.56 : 74,646.56 = 74,646.56 : x
  2. Step 2: Convert to fraction form
    35,037.56/74,646.56 = 74,646.56/x
  3. Step 3: Cross multiply
    35,037.56x = 74,646.56 × 74,646.56
  4. Step 4: Simplify right side
    35,037.56x = 5,572,109,293.07
  5. Step 5: Solve for x
    x = 5,572,109,293.07/35,037.56
  6. Step 6: Final answer
    x = 159,032.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.