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Finding the Third Proportional to 42,050.81 and 64,307.25

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Solution

The third proportional to 42,050.81 and 64,307.25 is: 98,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,050.81 : 64,307.25 = 64,307.25 : x
  2. Step 2: Convert to fraction form
    42,050.81/64,307.25 = 64,307.25/x
  3. Step 3: Cross multiply
    42,050.81x = 64,307.25 × 64,307.25
  4. Step 4: Simplify right side
    42,050.81x = 4,135,422,402.56
  5. Step 5: Solve for x
    x = 4,135,422,402.56/42,050.81
  6. Step 6: Final answer
    x = 98,343.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.