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Finding the Third Proportional to 19,770 and 29,835

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Solution

The third proportional to 19,770 and 29,835 is: 45,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 29,835 = 29,835 : x
  2. Step 2: Convert to fraction form
    19,770/29,835 = 29,835/x
  3. Step 3: Cross multiply
    19,770x = 29,835 × 29,835
  4. Step 4: Simplify right side
    19,770x = 890,127,225
  5. Step 5: Solve for x
    x = 890,127,225/19,770
  6. Step 6: Final answer
    x = 45,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.