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Finding the Third Proportional to 12,848.63 and 24,148.13

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Solution

The third proportional to 12,848.63 and 24,148.13 is: 45,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.63 : 24,148.13 = 24,148.13 : x
  2. Step 2: Convert to fraction form
    12,848.63/24,148.13 = 24,148.13/x
  3. Step 3: Cross multiply
    12,848.63x = 24,148.13 × 24,148.13
  4. Step 4: Simplify right side
    12,848.63x = 583,131,941.02
  5. Step 5: Solve for x
    x = 583,131,941.02/12,848.63
  6. Step 6: Final answer
    x = 45,384.77

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.