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Finding the Third Proportional to 30,697.02 and 45,856.16

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Solution

The third proportional to 30,697.02 and 45,856.16 is: 68,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.02 : 45,856.16 = 45,856.16 : x
  2. Step 2: Convert to fraction form
    30,697.02/45,856.16 = 45,856.16/x
  3. Step 3: Cross multiply
    30,697.02x = 45,856.16 × 45,856.16
  4. Step 4: Simplify right side
    30,697.02x = 2,102,787,827.31
  5. Step 5: Solve for x
    x = 2,102,787,827.31/30,697.02
  6. Step 6: Final answer
    x = 68,501.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.