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Finding the Third Proportional to 29,298 and 64,047

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Solution

The third proportional to 29,298 and 64,047 is: 140,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298 : 64,047 = 64,047 : x
  2. Step 2: Convert to fraction form
    29,298/64,047 = 64,047/x
  3. Step 3: Cross multiply
    29,298x = 64,047 × 64,047
  4. Step 4: Simplify right side
    29,298x = 4,102,018,209
  5. Step 5: Solve for x
    x = 4,102,018,209/29,298
  6. Step 6: Final answer
    x = 140,010.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.