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Finding the Third Proportional to 14,870.95 and 32,192.02

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Solution

The third proportional to 14,870.95 and 32,192.02 is: 69,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.95 : 32,192.02 = 32,192.02 : x
  2. Step 2: Convert to fraction form
    14,870.95/32,192.02 = 32,192.02/x
  3. Step 3: Cross multiply
    14,870.95x = 32,192.02 × 32,192.02
  4. Step 4: Simplify right side
    14,870.95x = 1,036,325,870.00
  5. Step 5: Solve for x
    x = 1,036,325,870.00/14,870.95
  6. Step 6: Final answer
    x = 69,687.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.