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Finding the Third Proportional to 46,952.06 and 72,706.31

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Solution

The third proportional to 46,952.06 and 72,706.31 is: 112,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.06 : 72,706.31 = 72,706.31 : x
  2. Step 2: Convert to fraction form
    46,952.06/72,706.31 = 72,706.31/x
  3. Step 3: Cross multiply
    46,952.06x = 72,706.31 × 72,706.31
  4. Step 4: Simplify right side
    46,952.06x = 5,286,207,877.35
  5. Step 5: Solve for x
    x = 5,286,207,877.35/46,952.06
  6. Step 6: Final answer
    x = 112,587.34

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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.