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Finding the Third Proportional to 28,431 and 42,646

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Solution

The third proportional to 28,431 and 42,646 is: 63,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431 : 42,646 = 42,646 : x
  2. Step 2: Convert to fraction form
    28,431/42,646 = 42,646/x
  3. Step 3: Cross multiply
    28,431x = 42,646 × 42,646
  4. Step 4: Simplify right side
    28,431x = 1,818,681,316
  5. Step 5: Solve for x
    x = 1,818,681,316/28,431
  6. Step 6: Final answer
    x = 63,968.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.