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Finding the Third Proportional to 14,607.35 and 31,994.02

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Solution

The third proportional to 14,607.35 and 31,994.02 is: 70,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.35 : 31,994.02 = 31,994.02 : x
  2. Step 2: Convert to fraction form
    14,607.35/31,994.02 = 31,994.02/x
  3. Step 3: Cross multiply
    14,607.35x = 31,994.02 × 31,994.02
  4. Step 4: Simplify right side
    14,607.35x = 1,023,617,035.81
  5. Step 5: Solve for x
    x = 1,023,617,035.81/14,607.35
  6. Step 6: Final answer
    x = 70,075.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.