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Finding the Third Proportional to 46,395 and 70,022

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Solution

The third proportional to 46,395 and 70,022 is: 105,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,395 : 70,022 = 70,022 : x
  2. Step 2: Convert to fraction form
    46,395/70,022 = 70,022/x
  3. Step 3: Cross multiply
    46,395x = 70,022 × 70,022
  4. Step 4: Simplify right side
    46,395x = 4,903,080,484
  5. Step 5: Solve for x
    x = 4,903,080,484/46,395
  6. Step 6: Final answer
    x = 105,681.23

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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.