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Finding the Third Proportional to 42,347 and 63,312

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Solution

The third proportional to 42,347 and 63,312 is: 94,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,347 : 63,312 = 63,312 : x
  2. Step 2: Convert to fraction form
    42,347/63,312 = 63,312/x
  3. Step 3: Cross multiply
    42,347x = 63,312 × 63,312
  4. Step 4: Simplify right side
    42,347x = 4,008,409,344
  5. Step 5: Solve for x
    x = 4,008,409,344/42,347
  6. Step 6: Final answer
    x = 94,656.28

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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.