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Finding the Third Proportional to 30,087 and 45,895.50

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Solution

The third proportional to 30,087 and 45,895.50 is: 70,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,087 : 45,895.50 = 45,895.50 : x
  2. Step 2: Convert to fraction form
    30,087/45,895.50 = 45,895.50/x
  3. Step 3: Cross multiply
    30,087x = 45,895.50 × 45,895.50
  4. Step 4: Simplify right side
    30,087x = 2,106,396,920.25
  5. Step 5: Solve for x
    x = 2,106,396,920.25/30,087
  6. Step 6: Final answer
    x = 70,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.