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Finding the Third Proportional to 30,429 and 40,531.50

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Solution

The third proportional to 30,429 and 40,531.50 is: 53,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429 : 40,531.50 = 40,531.50 : x
  2. Step 2: Convert to fraction form
    30,429/40,531.50 = 40,531.50/x
  3. Step 3: Cross multiply
    30,429x = 40,531.50 × 40,531.50
  4. Step 4: Simplify right side
    30,429x = 1,642,802,492.25
  5. Step 5: Solve for x
    x = 1,642,802,492.25/30,429
  6. Step 6: Final answer
    x = 53,988.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.