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Finding the Third Proportional to 29,360 and 64,528

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Solution

The third proportional to 29,360 and 64,528 is: 141,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,360 : 64,528 = 64,528 : x
  2. Step 2: Convert to fraction form
    29,360/64,528 = 64,528/x
  3. Step 3: Cross multiply
    29,360x = 64,528 × 64,528
  4. Step 4: Simplify right side
    29,360x = 4,163,862,784
  5. Step 5: Solve for x
    x = 4,163,862,784/29,360
  6. Step 6: Final answer
    x = 141,820.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.