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Finding the Third Proportional to 42,996 and 64,746

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Solution

The third proportional to 42,996 and 64,746 is: 97,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996 : 64,746 = 64,746 : x
  2. Step 2: Convert to fraction form
    42,996/64,746 = 64,746/x
  3. Step 3: Cross multiply
    42,996x = 64,746 × 64,746
  4. Step 4: Simplify right side
    42,996x = 4,192,044,516
  5. Step 5: Solve for x
    x = 4,192,044,516/42,996
  6. Step 6: Final answer
    x = 97,498.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.