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Finding the Third Proportional to 29,316 and 42,997.50

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Solution

The third proportional to 29,316 and 42,997.50 is: 63,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316 : 42,997.50 = 42,997.50 : x
  2. Step 2: Convert to fraction form
    29,316/42,997.50 = 42,997.50/x
  3. Step 3: Cross multiply
    29,316x = 42,997.50 × 42,997.50
  4. Step 4: Simplify right side
    29,316x = 1,848,785,006.25
  5. Step 5: Solve for x
    x = 1,848,785,006.25/29,316
  6. Step 6: Final answer
    x = 63,064.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.