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Finding the Third Proportional to 30,403 and 45,482.50

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Solution

The third proportional to 30,403 and 45,482.50 is: 68,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403 : 45,482.50 = 45,482.50 : x
  2. Step 2: Convert to fraction form
    30,403/45,482.50 = 45,482.50/x
  3. Step 3: Cross multiply
    30,403x = 45,482.50 × 45,482.50
  4. Step 4: Simplify right side
    30,403x = 2,068,657,806.25
  5. Step 5: Solve for x
    x = 2,068,657,806.25/30,403
  6. Step 6: Final answer
    x = 68,041.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.