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Finding the Third Proportional to 48,113.06 and 69,304.88

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Solution

The third proportional to 48,113.06 and 69,304.88 is: 99,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.06 : 69,304.88 = 69,304.88 : x
  2. Step 2: Convert to fraction form
    48,113.06/69,304.88 = 69,304.88/x
  3. Step 3: Cross multiply
    48,113.06x = 69,304.88 × 69,304.88
  4. Step 4: Simplify right side
    48,113.06x = 4,803,165,698.77
  5. Step 5: Solve for x
    x = 4,803,165,698.77/48,113.06
  6. Step 6: Final answer
    x = 99,830.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.