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Finding the Third Proportional to 42,806 and 64,337

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Solution

The third proportional to 42,806 and 64,337 is: 96,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806 : 64,337 = 64,337 : x
  2. Step 2: Convert to fraction form
    42,806/64,337 = 64,337/x
  3. Step 3: Cross multiply
    42,806x = 64,337 × 64,337
  4. Step 4: Simplify right side
    42,806x = 4,139,249,569
  5. Step 5: Solve for x
    x = 4,139,249,569/42,806
  6. Step 6: Final answer
    x = 96,697.88

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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.