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Finding the Third Proportional to 10,646.17 and 22,395.83

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Solution

The third proportional to 10,646.17 and 22,395.83 is: 47,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.17 : 22,395.83 = 22,395.83 : x
  2. Step 2: Convert to fraction form
    10,646.17/22,395.83 = 22,395.83/x
  3. Step 3: Cross multiply
    10,646.17x = 22,395.83 × 22,395.83
  4. Step 4: Simplify right side
    10,646.17x = 501,573,117.40
  5. Step 5: Solve for x
    x = 501,573,117.40/10,646.17
  6. Step 6: Final answer
    x = 47,113.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.