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Finding the Third Proportional to 10,746.56 and 22,877.06

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Solution

The third proportional to 10,746.56 and 22,877.06 is: 48,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.56 : 22,877.06 = 22,877.06 : x
  2. Step 2: Convert to fraction form
    10,746.56/22,877.06 = 22,877.06/x
  3. Step 3: Cross multiply
    10,746.56x = 22,877.06 × 22,877.06
  4. Step 4: Simplify right side
    10,746.56x = 523,359,988.63
  5. Step 5: Solve for x
    x = 523,359,988.63/10,746.56
  6. Step 6: Final answer
    x = 48,700.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.