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Finding the Third Proportional to 29,585 and 64,354

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Solution

The third proportional to 29,585 and 64,354 is: 139,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585 : 64,354 = 64,354 : x
  2. Step 2: Convert to fraction form
    29,585/64,354 = 64,354/x
  3. Step 3: Cross multiply
    29,585x = 64,354 × 64,354
  4. Step 4: Simplify right side
    29,585x = 4,141,437,316
  5. Step 5: Solve for x
    x = 4,141,437,316/29,585
  6. Step 6: Final answer
    x = 139,984.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.