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Finding the Third Proportional to 32,018 and 46,988

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Solution

The third proportional to 32,018 and 46,988 is: 68,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018 : 46,988 = 46,988 : x
  2. Step 2: Convert to fraction form
    32,018/46,988 = 46,988/x
  3. Step 3: Cross multiply
    32,018x = 46,988 × 46,988
  4. Step 4: Simplify right side
    32,018x = 2,207,872,144
  5. Step 5: Solve for x
    x = 2,207,872,144/32,018
  6. Step 6: Final answer
    x = 68,957.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.