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Finding the Third Proportional to 29,646.84 and 47,417.48

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Solution

The third proportional to 29,646.84 and 47,417.48 is: 75,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646.84 : 47,417.48 = 47,417.48 : x
  2. Step 2: Convert to fraction form
    29,646.84/47,417.48 = 47,417.48/x
  3. Step 3: Cross multiply
    29,646.84x = 47,417.48 × 47,417.48
  4. Step 4: Simplify right side
    29,646.84x = 2,248,417,824.45
  5. Step 5: Solve for x
    x = 2,248,417,824.45/29,646.84
  6. Step 6: Final answer
    x = 75,840.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.