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Finding the Third Proportional to 30,145.50 and 63,686.25

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Solution

The third proportional to 30,145.50 and 63,686.25 is: 134,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.50 : 63,686.25 = 63,686.25 : x
  2. Step 2: Convert to fraction form
    30,145.50/63,686.25 = 63,686.25/x
  3. Step 3: Cross multiply
    30,145.50x = 63,686.25 × 63,686.25
  4. Step 4: Simplify right side
    30,145.50x = 4,055,938,439.06
  5. Step 5: Solve for x
    x = 4,055,938,439.06/30,145.50
  6. Step 6: Final answer
    x = 134,545.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.