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Finding the Third Proportional to 46,968.75 and 72,810.56

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Solution

The third proportional to 46,968.75 and 72,810.56 is: 112,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,968.75 : 72,810.56 = 72,810.56 : x
  2. Step 2: Convert to fraction form
    46,968.75/72,810.56 = 72,810.56/x
  3. Step 3: Cross multiply
    46,968.75x = 72,810.56 × 72,810.56
  4. Step 4: Simplify right side
    46,968.75x = 5,301,378,011.57
  5. Step 5: Solve for x
    x = 5,301,378,011.57/46,968.75
  6. Step 6: Final answer
    x = 112,870.32

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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.