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Finding the Third Proportional to 30,111.75 and 63,838.13

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Solution

The third proportional to 30,111.75 and 63,838.13 is: 135,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.75 : 63,838.13 = 63,838.13 : x
  2. Step 2: Convert to fraction form
    30,111.75/63,838.13 = 63,838.13/x
  3. Step 3: Cross multiply
    30,111.75x = 63,838.13 × 63,838.13
  4. Step 4: Simplify right side
    30,111.75x = 4,075,306,203.52
  5. Step 5: Solve for x
    x = 4,075,306,203.52/30,111.75
  6. Step 6: Final answer
    x = 135,339.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.