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Finding the Third Proportional to 46,698.75 and 70,534.13

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Solution

The third proportional to 46,698.75 and 70,534.13 is: 106,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.75 : 70,534.13 = 70,534.13 : x
  2. Step 2: Convert to fraction form
    46,698.75/70,534.13 = 70,534.13/x
  3. Step 3: Cross multiply
    46,698.75x = 70,534.13 × 70,534.13
  4. Step 4: Simplify right side
    46,698.75x = 4,975,062,789.52
  5. Step 5: Solve for x
    x = 4,975,062,789.52/46,698.75
  6. Step 6: Final answer
    x = 106,535.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.