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Finding the Third Proportional to 29,572 and 64,117

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Solution

The third proportional to 29,572 and 64,117 is: 139,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572 : 64,117 = 64,117 : x
  2. Step 2: Convert to fraction form
    29,572/64,117 = 64,117/x
  3. Step 3: Cross multiply
    29,572x = 64,117 × 64,117
  4. Step 4: Simplify right side
    29,572x = 4,110,989,689
  5. Step 5: Solve for x
    x = 4,110,989,689/29,572
  6. Step 6: Final answer
    x = 139,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.