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Finding the Third Proportional to 29,421 and 64,458

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Solution

The third proportional to 29,421 and 64,458 is: 141,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421 : 64,458 = 64,458 : x
  2. Step 2: Convert to fraction form
    29,421/64,458 = 64,458/x
  3. Step 3: Cross multiply
    29,421x = 64,458 × 64,458
  4. Step 4: Simplify right side
    29,421x = 4,154,833,764
  5. Step 5: Solve for x
    x = 4,154,833,764/29,421
  6. Step 6: Final answer
    x = 141,220.00

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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.