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Finding the Third Proportional to 48,304 and 64,998

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Solution

The third proportional to 48,304 and 64,998 is: 87,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,304 : 64,998 = 64,998 : x
  2. Step 2: Convert to fraction form
    48,304/64,998 = 64,998/x
  3. Step 3: Cross multiply
    48,304x = 64,998 × 64,998
  4. Step 4: Simplify right side
    48,304x = 4,224,740,004
  5. Step 5: Solve for x
    x = 4,224,740,004/48,304
  6. Step 6: Final answer
    x = 87,461.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.