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Finding the Third Proportional to 32,368 and 48,417

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Solution

The third proportional to 32,368 and 48,417 is: 72,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368 : 48,417 = 48,417 : x
  2. Step 2: Convert to fraction form
    32,368/48,417 = 48,417/x
  3. Step 3: Cross multiply
    32,368x = 48,417 × 48,417
  4. Step 4: Simplify right side
    32,368x = 2,344,205,889
  5. Step 5: Solve for x
    x = 2,344,205,889/32,368
  6. Step 6: Final answer
    x = 72,423.56

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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.