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Finding the Third Proportional to 45,706.88 and 70,633.13

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Solution

The third proportional to 45,706.88 and 70,633.13 is: 109,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,706.88 : 70,633.13 = 70,633.13 : x
  2. Step 2: Convert to fraction form
    45,706.88/70,633.13 = 70,633.13/x
  3. Step 3: Cross multiply
    45,706.88x = 70,633.13 × 70,633.13
  4. Step 4: Simplify right side
    45,706.88x = 4,989,038,347.27
  5. Step 5: Solve for x
    x = 4,989,038,347.27/45,706.88
  6. Step 6: Final answer
    x = 109,152.91

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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.