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Finding the Third Proportional to 42,300 and 63,346

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Solution

The third proportional to 42,300 and 63,346 is: 94,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300 : 63,346 = 63,346 : x
  2. Step 2: Convert to fraction form
    42,300/63,346 = 63,346/x
  3. Step 3: Cross multiply
    42,300x = 63,346 × 63,346
  4. Step 4: Simplify right side
    42,300x = 4,012,715,716
  5. Step 5: Solve for x
    x = 4,012,715,716/42,300
  6. Step 6: Final answer
    x = 94,863.26

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