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Finding the Third Proportional to 30,981 and 48,040

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Solution

The third proportional to 30,981 and 48,040 is: 74,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981 : 48,040 = 48,040 : x
  2. Step 2: Convert to fraction form
    30,981/48,040 = 48,040/x
  3. Step 3: Cross multiply
    30,981x = 48,040 × 48,040
  4. Step 4: Simplify right side
    30,981x = 2,307,841,600
  5. Step 5: Solve for x
    x = 2,307,841,600/30,981
  6. Step 6: Final answer
    x = 74,492.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.