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Finding the Third Proportional to 29,730 and 64,360.50

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Solution

The third proportional to 29,730 and 64,360.50 is: 139,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730 : 64,360.50 = 64,360.50 : x
  2. Step 2: Convert to fraction form
    29,730/64,360.50 = 64,360.50/x
  3. Step 3: Cross multiply
    29,730x = 64,360.50 × 64,360.50
  4. Step 4: Simplify right side
    29,730x = 4,142,273,960.25
  5. Step 5: Solve for x
    x = 4,142,273,960.25/29,730
  6. Step 6: Final answer
    x = 139,329.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.