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Finding the Third Proportional to 42,948 and 64,222

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Solution

The third proportional to 42,948 and 64,222 is: 96,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948 : 64,222 = 64,222 : x
  2. Step 2: Convert to fraction form
    42,948/64,222 = 64,222/x
  3. Step 3: Cross multiply
    42,948x = 64,222 × 64,222
  4. Step 4: Simplify right side
    42,948x = 4,124,465,284
  5. Step 5: Solve for x
    x = 4,124,465,284/42,948
  6. Step 6: Final answer
    x = 96,033.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.