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Finding the Third Proportional to 19,213 and 29,402.50

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Solution

The third proportional to 19,213 and 29,402.50 is: 44,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213 : 29,402.50 = 29,402.50 : x
  2. Step 2: Convert to fraction form
    19,213/29,402.50 = 29,402.50/x
  3. Step 3: Cross multiply
    19,213x = 29,402.50 × 29,402.50
  4. Step 4: Simplify right side
    19,213x = 864,507,006.25
  5. Step 5: Solve for x
    x = 864,507,006.25/19,213
  6. Step 6: Final answer
    x = 44,995.94

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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.