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Finding the Third Proportional to 30,385.13 and 48,549.38

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Solution

The third proportional to 30,385.13 and 48,549.38 is: 77,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.13 : 48,549.38 = 48,549.38 : x
  2. Step 2: Convert to fraction form
    30,385.13/48,549.38 = 48,549.38/x
  3. Step 3: Cross multiply
    30,385.13x = 48,549.38 × 48,549.38
  4. Step 4: Simplify right side
    30,385.13x = 2,357,041,812.89
  5. Step 5: Solve for x
    x = 2,357,041,812.89/30,385.13
  6. Step 6: Final answer
    x = 77,572.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.