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Finding the Third Proportional to 35,070 and 52,968

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Solution

The third proportional to 35,070 and 52,968 is: 80,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,070 : 52,968 = 52,968 : x
  2. Step 2: Convert to fraction form
    35,070/52,968 = 52,968/x
  3. Step 3: Cross multiply
    35,070x = 52,968 × 52,968
  4. Step 4: Simplify right side
    35,070x = 2,805,609,024
  5. Step 5: Solve for x
    x = 2,805,609,024/35,070
  6. Step 6: Final answer
    x = 80,000.26

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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.