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Finding the Third Proportional to 45,707.06 and 70,633.69

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Solution

The third proportional to 45,707.06 and 70,633.69 is: 109,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,707.06 : 70,633.69 = 70,633.69 : x
  2. Step 2: Convert to fraction form
    45,707.06/70,633.69 = 70,633.69/x
  3. Step 3: Cross multiply
    45,707.06x = 70,633.69 × 70,633.69
  4. Step 4: Simplify right side
    45,707.06x = 4,989,117,809.85
  5. Step 5: Solve for x
    x = 4,989,117,809.85/45,707.06
  6. Step 6: Final answer
    x = 109,154.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.