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Finding the Third Proportional to 29,835 and 68,968.13

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Solution

The third proportional to 29,835 and 68,968.13 is: 159,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 68,968.13 = 68,968.13 : x
  2. Step 2: Convert to fraction form
    29,835/68,968.13 = 68,968.13/x
  3. Step 3: Cross multiply
    29,835x = 68,968.13 × 68,968.13
  4. Step 4: Simplify right side
    29,835x = 4,756,602,266.02
  5. Step 5: Solve for x
    x = 4,756,602,266.02/29,835
  6. Step 6: Final answer
    x = 159,430.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.