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Finding the Third Proportional to 46,952.16 and 71,590.08

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Solution

The third proportional to 46,952.16 and 71,590.08 is: 109,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.16 : 71,590.08 = 71,590.08 : x
  2. Step 2: Convert to fraction form
    46,952.16/71,590.08 = 71,590.08/x
  3. Step 3: Cross multiply
    46,952.16x = 71,590.08 × 71,590.08
  4. Step 4: Simplify right side
    46,952.16x = 5,125,139,285.94
  5. Step 5: Solve for x
    x = 5,125,139,285.94/46,952.16
  6. Step 6: Final answer
    x = 109,156.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.