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Finding the Third Proportional to 12,925.51 and 19,764.16

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Solution

The third proportional to 12,925.51 and 19,764.16 is: 30,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.51 : 19,764.16 = 19,764.16 : x
  2. Step 2: Convert to fraction form
    12,925.51/19,764.16 = 19,764.16/x
  3. Step 3: Cross multiply
    12,925.51x = 19,764.16 × 19,764.16
  4. Step 4: Simplify right side
    12,925.51x = 390,621,949.48
  5. Step 5: Solve for x
    x = 390,621,949.48/12,925.51
  6. Step 6: Final answer
    x = 30,221.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.