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Finding the Third Proportional to 42,952 and 65,022

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Solution

The third proportional to 42,952 and 65,022 is: 98,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952 : 65,022 = 65,022 : x
  2. Step 2: Convert to fraction form
    42,952/65,022 = 65,022/x
  3. Step 3: Cross multiply
    42,952x = 65,022 × 65,022
  4. Step 4: Simplify right side
    42,952x = 4,227,860,484
  5. Step 5: Solve for x
    x = 4,227,860,484/42,952
  6. Step 6: Final answer
    x = 98,432.21

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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.