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Finding the Third Proportional to 29,895.75 and 46,903.13

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Solution

The third proportional to 29,895.75 and 46,903.13 is: 73,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,895.75 : 46,903.13 = 46,903.13 : x
  2. Step 2: Convert to fraction form
    29,895.75/46,903.13 = 46,903.13/x
  3. Step 3: Cross multiply
    29,895.75x = 46,903.13 × 46,903.13
  4. Step 4: Simplify right side
    29,895.75x = 2,199,903,134.77
  5. Step 5: Solve for x
    x = 2,199,903,134.77/29,895.75
  6. Step 6: Final answer
    x = 73,585.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.