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Finding the Third Proportional to 10,657.88 and 22,420.50

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Solution

The third proportional to 10,657.88 and 22,420.50 is: 47,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.88 : 22,420.50 = 22,420.50 : x
  2. Step 2: Convert to fraction form
    10,657.88/22,420.50 = 22,420.50/x
  3. Step 3: Cross multiply
    10,657.88x = 22,420.50 × 22,420.50
  4. Step 4: Simplify right side
    10,657.88x = 502,678,820.25
  5. Step 5: Solve for x
    x = 502,678,820.25/10,657.88
  6. Step 6: Final answer
    x = 47,165.01

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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.