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Finding the Third Proportional to 64,500.47 and 94,854.94

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Solution

The third proportional to 64,500.47 and 94,854.94 is: 139,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500.47 : 94,854.94 = 94,854.94 : x
  2. Step 2: Convert to fraction form
    64,500.47/94,854.94 = 94,854.94/x
  3. Step 3: Cross multiply
    64,500.47x = 94,854.94 × 94,854.94
  4. Step 4: Simplify right side
    64,500.47x = 8,997,459,168.13
  5. Step 5: Solve for x
    x = 8,997,459,168.13/64,500.47
  6. Step 6: Final answer
    x = 139,494.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.